{"id":31315,"date":"2024-01-15T16:20:51","date_gmt":"2024-01-15T16:20:51","guid":{"rendered":"https:\/\/umschool.net\/library\/?p=31315"},"modified":"2024-03-19T16:58:35","modified_gmt":"2024-03-19T16:58:35","slug":"vozvedenie-chisla-v-stepen","status":"publish","type":"post","link":"https:\/\/umschool.net\/library\/matematika\/vozvedenie-chisla-v-stepen\/","title":{"rendered":"\u0412\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0447\u0438\u0441\u043b\u0430 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c"},"content":{"rendered":"\n<h3 class=\"has-text-align-center wp-block-heading\"><strong>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435<\/strong>&nbsp;<\/h3>\n\n\n\n<ul class=\"wp-block-list\"><li>\u041a\u0430\u043a \u0441\u0432\u044f\u0437\u0430\u043d\u044b \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438 \u043d\u0430\u0448 \u043c\u043e\u0437\u0433?<\/li><li>\u041a\u0430\u043a\u043e\u0435 \u0441\u0430\u043c\u043e\u0435 \u0431\u043e\u043b\u044c\u0448\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0437\u0430\u043f\u0438\u0441\u0430\u0442\u044c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0442\u0440\u0435\u0445 \u0446\u0438\u0444\u0440?<\/li><li>\u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043b\u0438 \u0437\u0430\u043a\u043e\u043d, \u043f\u043e \u043a\u043e\u0442\u043e\u0440\u043e\u043c\u0443 \u0440\u0430\u0441\u0442\u0443\u0442 \u0431\u0430\u043a\u0442\u0435\u0440\u0438\u0438?<\/li><\/ul>\n\n\n\n<p>\u041a\u0430\u043a \u043f\u0440\u0435\u0432\u0437\u043e\u0439\u0442\u0438 \u0441\u0430\u043c\u043e\u0433\u043e \u0441\u0435\u0431\u044f? \u041c\u044b \u0447\u0430\u0441\u0442\u043e \u0441\u043b\u044b\u0448\u0438\u043c, \u0447\u0442\u043e \u0433\u043b\u0430\u0432\u043d\u043e\u0435 \u0441\u043e\u0440\u0435\u0432\u043d\u043e\u0432\u0430\u043d\u0438\u0435 \u2013 \u0441\u043e\u0440\u0435\u0432\u043d\u043e\u0432\u0430\u043d\u0438\u0435 \u0441 \u0441\u0430\u043c\u0438\u043c \u0441\u043e\u0431\u043e\u0439. \u0418 \u044d\u0442\u043e \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0442\u0430\u043a! \u0412\u0430\u0436\u043d\u043e \u0440\u0430\u0441\u0442\u0438 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0441\u0430\u043c\u043e\u0433\u043e \u0441\u0435\u0431\u044f \u0432 \u0434\u0430\u043d\u043d\u0443\u044e \u043c\u0438\u043d\u0443\u0442\u0443, \u0442\u043e \u0435\u0441\u0442\u044c \u043f\u043e \u0441\u0443\u0442\u0438 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b <strong>\u0432\u043e\u0437\u0432\u043e\u0434\u0438\u0442\u044c \u0441\u0435\u0431\u044f \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c<\/strong>, \u0442\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0432 \u043a\u0430\u0436\u0434\u044b\u0439 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u043c\u043e\u043c\u0435\u043d\u0442 \u0431\u0443\u0434\u0435\u0442 \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442\u044c \u0437\u0430\u043c\u0435\u0442\u043d\u044b\u0439 \u0440\u043e\u0441\u0442.&nbsp;<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2024\/01\/1-928x1024.png\" alt=\"\" class=\"wp-image-31328\" width=\"464\" height=\"512\" srcset=\"\/library\/wp-content\/uploads\/2024\/01\/1-928x1024.png 928w, \/library\/wp-content\/uploads\/2024\/01\/1-272x300.png 272w, \/library\/wp-content\/uploads\/2024\/01\/1-768x848.png 768w, \/library\/wp-content\/uploads\/2024\/01\/1-1392x1536.png 1392w, \/library\/wp-content\/uploads\/2024\/01\/1-1856x2048.png 1856w\" sizes=\"auto, (max-width: 464px) 100vw, 464px\" \/><\/figure><\/div>\n\n\n\n<p>\u0415\u0441\u043b\u0438 \u0433\u043e\u0432\u043e\u0440\u0438\u0442\u044c \u043f\u0440\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0443, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u2013 \u044d\u0442\u043e \u0432\u0430\u0436\u043d\u0435\u0439\u0448\u0430\u044f \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f \u0431\u0443\u043a\u0432\u0430\u043b\u044c\u043d\u043e \u0432\u0435\u0437\u0434\u0435: \u043f\u0440\u0438 \u0440\u0435\u0448\u0435\u043d\u0438\u0438 \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432, \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0438 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0439, \u0440\u0435\u0448\u0435\u043d\u0438\u0438 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0445 \u0437\u0430\u0434\u0430\u0447.<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#f0e5ff\"><strong>\u0412\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c<\/strong> \u2014 \u0430\u0440\u0438\u0444\u043c\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044f, \u043f\u0435\u0440\u0432\u043e\u043d\u0430\u0447\u0430\u043b\u044c\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u043c\u0430\u044f \u043a\u0430\u043a \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043c\u043d\u043e\u0433\u043e\u043a\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u0447\u0438\u0441\u043b\u0430 \u043d\u0430 \u0441\u0435\u0431\u044f.&nbsp;<\/p>\n\n\n\n<p>\u0422\u043e \u0435\u0441\u0442\u044c \\(x^n=x*x*x*&#8230;*x\\), \u0432 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0438 \u0443 \u043d\u0430\u0441 \u0431\u0443\u0434\u0435\u0442 \\(n\\) \u043c\u043d\u043e\u0436\u0438\u0442\u0435\u043b\u0435\u0439. \u0417\u0434\u0435\u0441\u044c \\(x\\) \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f <strong>\u043e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u0435\u043c \u0441\u0442\u0435\u043f\u0435\u043d\u0438<\/strong>, \u0430 \\(n\\) \u2013 <strong>\u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0435\u043c \u0441\u0442\u0435\u043f\u0435\u043d\u0438<\/strong>.&nbsp;<\/p>\n\n\n\n<p>\u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043f\u0440\u0438\u043c\u0435\u0440\u044b: \\(6^3=6*6*6\\) \u0438\u043b\u0438 \\(5^4=5*5*5*5\\).<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong>\u041a\u0430\u043a \u0441\u0432\u044f\u0437\u0430\u043d\u044b \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438 \u043d\u0430\u0448 \u043c\u043e\u0437\u0433?<\/strong><br><br>\u041d\u0430\u0448 \u043c\u043e\u0437\u0433 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \\(2*10^{12}\\) \u043d\u0435\u0440\u0432\u043d\u044b\u0445 \u043a\u043b\u0435\u0442\u043e\u043a \u0438 \u0441\u043f\u043e\u0441\u043e\u0431\u0435\u043d \u0435\u0436\u0435\u0434\u043d\u0435\u0432\u043d\u043e \u0437\u0430\u043f\u043e\u043c\u0438\u043d\u0430\u0442\u044c \\(8,6*10^7\\) \u0435\u0434\u0438\u043d\u0438\u0446 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u0438.&nbsp;<br><br>\u041f\u0440\u0438 \u044d\u0442\u043e\u043c \u043a \u043a\u043e\u043d\u0446\u0443 \u0436\u0438\u0437\u043d\u0438 \u043d\u0430\u0448\u0430 \u043f\u0430\u043c\u044f\u0442\u044c \u0445\u0440\u0430\u043d\u0438\u0442 \u043f\u0440\u0438\u043c\u0435\u0440\u043d\u043e \\(10^8\\) \u0435\u0434\u0438\u043d\u0438\u0446 \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u0438, \u0447\u0442\u043e \u0441\u0438\u043b\u044c\u043d\u043e \u0431\u043e\u043b\u044c\u0448\u0435, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u043f\u0430\u043c\u044f\u0442\u0438 \u043a\u043e\u043c\u043f\u044c\u044e\u0442\u0435\u0440\u0430.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043c\u044b \u0440\u0430\u0437\u0431\u0435\u0440\u0435\u043c\u0441\u044f, \u043a\u0430\u043a \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e \u0441\u043e\u0432\u0435\u0440\u0448\u0430\u0442\u044c \u0434\u0430\u043d\u043d\u0443\u044e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044e.<\/p>\n\n\n\n<h2 class=\"has-text-align-center wp-block-heading\"><strong>\u0412\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0447\u0438\u0441\u043b\u0430 \u0432 \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c&nbsp;<\/strong><\/h2>\n\n\n\n<p>\u0414\u043b\u044f \u043d\u0430\u0447\u0430\u043b\u0430 \u0440\u0430\u0437\u0431\u0435\u0440\u0435\u043c\u0441\u044f, \u0447\u0442\u043e \u0436\u0435 \u0442\u0430\u043a\u043e\u0435 \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u044b\u0439 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438.<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#f0e5ff\"><strong>\u041d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u0430\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c<\/strong> \u2013 \u0441\u0442\u0435\u043f\u0435\u043d\u044c, \u0432 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0435 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0441\u0442\u043e\u0438\u0442 \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \u0442\u043e \u0435\u0441\u0442\u044c 1, 2, 3 \u0438 \u0442.\u0434.<\/p>\n\n\n\n<p>\u041f\u0440\u0438 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0438 \u0447\u0438\u0441\u043b\u0430 \u0432 \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0434\u0435\u0439\u0441\u0442\u0432\u043e\u0432\u0430\u0442\u044c \u0434\u0432\u0443\u043c\u044f \u0441\u043f\u043e\u0441\u043e\u0431\u0430\u043c\u0438:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li><strong>\u0423\u043c\u043d\u043e\u0436\u0430\u0442\u044c \u0447\u0438\u0441\u043b\u043e \u0441\u0430\u043c\u043e \u043d\u0430 \u0441\u0435\u0431\u0435 \u0441\u0442\u043e\u043b\u044c\u043a\u043e \u0440\u0430\u0437, \u043a\u0430\u043a\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0441\u0442\u043e\u0438\u0442 \u0432 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438.&nbsp;<\/strong><\/li><\/ol>\n\n\n\n<p id=\"\u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435_\u0447\u0438\u0441\u043b\u0430_\u0432_\u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u0443\u044e_\u0441\u0442\u0435\u043f\u0435\u043d\u044c\">\u0412 \u0434\u0430\u043d\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u044b \u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0442\u043e\u043b\u044c\u043a\u043e \u043d\u0430\u0448\u0438\u043c \u0443\u043c\u0435\u043d\u0438\u0435\u043c \u0441\u043e\u0432\u0435\u0440\u0448\u0430\u0442\u044c \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435, \u043d\u043e, \u043a\u043e\u043d\u0435\u0447\u043d\u043e, \u0432 \u0442\u0430\u043a\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043b\u0435\u0433\u043a\u043e \u0441\u043e\u0432\u0435\u0440\u0448\u0438\u0442\u044c \u0430\u0440\u0438\u0444\u043c\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u043e\u0448\u0438\u0431\u043a\u0443, \u043e\u0441\u043e\u0431\u0435\u043d\u043d\u043e \u0435\u0441\u043b\u0438 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0434\u043e\u0441\u0442\u0430\u0442\u043e\u0447\u043d\u043e \u0431\u043e\u043b\u044c\u0448\u043e\u0439.<br>\u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \\(5^3=5*5*5=25*5=125\\)<\/p>\n\n\n\n<p>\u0415\u0441\u043b\u0438 \u0436\u0435 \u043c\u044b \u0440\u0430\u0431\u043e\u0442\u0430\u0435\u043c \u0441 <a href=\"https:\/\/umschool.net\/library\/matematika\/drobi\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u0434\u0440\u043e\u0431\u044f\u043c\u0438<\/a> \u0438 \u0432\u043e\u0437\u0432\u043e\u0434\u0438\u043c \u0438\u0445 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c, \u0442\u043e \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0432\u043e\u0437\u0432\u0435\u0441\u0442\u0438 \u0432 \u0434\u0430\u043d\u043d\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u043e \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u0438 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c: \\((\\frac{2}{3})^4=\\frac{2^4}{3^4}=\\frac{16}{81}\\).<\/p>\n\n\n\n<p>\u041f\u0440\u0438 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \\(0\\) \u0432 \u043b\u044e\u0431\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u043d\u043e\u043b\u044c, \u0430\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e \u0441 \\(1\\): \\((1)^n=1\\)<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2024\/01\/2-1-1024x509.png\" alt=\"\" class=\"wp-image-31329\" width=\"512\" height=\"255\" srcset=\"\/library\/wp-content\/uploads\/2024\/01\/2-1-1024x509.png 1024w, \/library\/wp-content\/uploads\/2024\/01\/2-1-300x149.png 300w, \/library\/wp-content\/uploads\/2024\/01\/2-1-768x382.png 768w, \/library\/wp-content\/uploads\/2024\/01\/2-1-1536x764.png 1536w, \/library\/wp-content\/uploads\/2024\/01\/2-1.png 1986w\" sizes=\"auto, (max-width: 512px) 100vw, 512px\" \/><\/figure><\/div>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\"><li><strong>\u0412\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0442\u0430\u0431\u043b\u0438\u0446\u0430\u043c\u0438<\/strong><\/li><\/ol>\n\n\n\n<p>\u0421\u0435\u0439\u0447\u0430\u0441 \u043b\u0435\u0433\u043a\u043e \u043d\u0430\u0439\u0442\u0438 \u0442\u0430\u0431\u043b\u0438\u0446\u044b, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u044e\u0442 \u0431\u044b\u0441\u0442\u0440\u043e \u043f\u043e\u043d\u044f\u0442\u044c, \u0447\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u043e \u0442\u043e \u0438\u043b\u0438 \u0438\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0435 \u0432 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2024\/01\/image-2-1024x684.png\" alt=\"\" class=\"wp-image-31330\" width=\"256\" height=\"171\" srcset=\"\/library\/wp-content\/uploads\/2024\/01\/image-2-1024x684.png 1024w, \/library\/wp-content\/uploads\/2024\/01\/image-2-300x200.png 300w, \/library\/wp-content\/uploads\/2024\/01\/image-2-768x513.png 768w, \/library\/wp-content\/uploads\/2024\/01\/image-2-1536x1026.png 1536w, \/library\/wp-content\/uploads\/2024\/01\/image-2.png 1600w\" sizes=\"auto, (max-width: 256px) 100vw, 256px\" \/><\/figure><\/div>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong>\u041a\u0430\u043a\u043e\u0435 \u0441\u0430\u043c\u043e\u0435 \u0431\u043e\u043b\u044c\u0448\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0437\u0430\u043f\u0438\u0441\u0430\u0442\u044c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0442\u0440\u0435\u0445 \u0446\u0438\u0444\u0440?<\/strong><br><br>\u0415\u0441\u043b\u0438 \u043c\u044b \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043c \\(9\\) \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \\(9^9 (9^{9^9})\\) \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u0447\u0438\u0441\u043b\u043e, \u0437\u0430\u043f\u0438\u0441\u0430\u0442\u044c \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u043c\u044b \u0441\u043c\u043e\u0436\u0435\u043c \u0442\u043e\u043b\u044c\u043a\u043e \u0432 150 \u0442\u043e\u043c\u0430\u0445 \u043f\u043e 100 \u0441\u0442\u0440\u0430\u043d\u0438\u0446 \u043a\u0430\u0436\u0434\u044b\u0439.&nbsp;<br><br>\u0415\u0441\u043b\u0438 \u043f\u0438\u0441\u0430\u0442\u044c \u043a\u0430\u0436\u0434\u0443\u044e \u0441\u0435\u043a\u0443\u043d\u0434\u0443 \u0434\u0432\u0435 \u0446\u0438\u0444\u0440\u044b, \u0442\u043e \u0434\u043b\u044f \u0442\u043e\u0433\u043e, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u0437\u0430\u043f\u0438\u0441\u0430\u0442\u044c \u044d\u0442\u043e \u0447\u0438\u0441\u043b\u043e \u043d\u0430\u043c \u043f\u043e\u043d\u0430\u0434\u043e\u0431\u0438\u0442\u0441\u044f 7 \u043b\u0435\u0442.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u041f\u0440\u0438 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0438 \u0447\u0438\u0441\u0435\u043b \u0432 \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u044b\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0441\u0442\u0430\u043b\u043a\u0438\u0432\u0430\u0442\u044c\u0441\u044f \u0441 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u043c\u0438 \u0441\u0438\u0442\u0443\u0430\u0446\u0438\u044f\u043c\u0438: \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0432\u043e\u0437\u0432\u043e\u0434\u0438\u0442\u044c \u0447\u0438\u0441\u043b\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0432 \u043e\u0434\u043d\u0443 \u0441\u0442\u0435\u043f\u0435\u043d\u044c, \u0430 \u043f\u043e\u0442\u043e\u043c \u0432 \u0434\u0440\u0443\u0433\u0443\u044e \\((6^2)^3\\) \u0438\u043b\u0438 \u0432\u043e\u0437\u0432\u043e\u0434\u0438\u0442\u044c \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0432 \u0440\u0430\u0437\u043d\u044b\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438 \u0437\u0430\u0442\u0435\u043c \u0443\u043c\u043d\u043e\u0436\u0430\u0442\u044c \\(6^2*6^3\\).<\/p>\n\n\n\n<p>\u0412 \u0442\u0430\u043a\u0438\u0445 \u0441\u043b\u0443\u0447\u0430\u044f\u0445 \u043c\u044b \u0441\u0442\u0430\u043b\u043a\u0438\u0432\u0430\u0435\u043c\u0441\u044f \u0441\u043e <strong>\u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430\u043c\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439<\/strong>.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2024\/01\/image-3-965x1024.png\" alt=\"\" class=\"wp-image-31331\" width=\"483\" height=\"512\" srcset=\"\/library\/wp-content\/uploads\/2024\/01\/image-3-965x1024.png 965w, \/library\/wp-content\/uploads\/2024\/01\/image-3-283x300.png 283w, \/library\/wp-content\/uploads\/2024\/01\/image-3-768x815.png 768w, \/library\/wp-content\/uploads\/2024\/01\/image-3-1448x1536.png 1448w, \/library\/wp-content\/uploads\/2024\/01\/image-3.png 1508w\" sizes=\"auto, (max-width: 483px) 100vw, 483px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-background\" style=\"background-color:#f0e5ff\">\u0417\u0430\u0434\u0430\u043d\u0438\u0435 \u043d\u0430 \u0440\u0430\u0431\u043e\u0442\u0443 \u0441\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u044f\u043c\u0438 \u043c\u043e\u0436\u0435\u0442 \u0432\u0441\u0442\u0440\u0435\u0442\u0438\u0442\u044c\u0441\u044f<strong> \u0432 \u0437\u0430\u0434\u0430\u043d\u0438\u0438 \u21167 \u0415\u0413\u042d \u043f\u043e \u043f\u0440\u043e\u0444\u0438\u043b\u044c\u043d\u043e\u0439 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438.<\/strong><br><br><strong>\u0417\u0430\u0434\u0430\u043d\u0438\u0435. <\/strong><em>\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f <\/em>\\(18x^7*x^{13}:(3x^{10})^2\\).<br><br><strong>\u0420\u0435\u0448\u0435\u043d\u0438\u0435. <\/strong>\u0412\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430\u043c\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u0438\u0437 \u0442\u0430\u0431\u043b\u0438\u0446\u044b \u0432\u044b\u0448\u0435 \u0438 \u0440\u0430\u0441\u043a\u0440\u043e\u0435\u043c \u0441\u043a\u043e\u0431\u043a\u0438:<br><br>\\((3x^{10})^2=9*x^{20}\\)<br><br>\u0422\u043e\u0433\u0434\u0430 \u043d\u0430\u0448\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u043f\u0440\u0438\u043e\u0431\u0440\u0435\u0442\u0430\u0435\u0442 \u0432\u0438\u0434:&nbsp;<br><br>\\(18x^7*x^{13}:9x^{20}\\)<br><br>\u0422\u0435\u043f\u0435\u0440\u044c \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u043c \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u044f, \u043e\u0441\u043d\u043e\u0432\u044b\u0432\u0430\u044f\u0441\u044c \u043d\u0430 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430\u0445 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439:<br><br>\\(18(x)^{7+13-20}:9\\)<br>\\(18x^0:9\\)<br>\\(18*1:9\\)<br>\\(18:9=2\\)<br><br><strong>\u041e\u0442\u0432\u0435\u0442:<\/strong> 2<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\"><strong>\u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043b\u0438 \u0437\u0430\u043a\u043e\u043d, \u043f\u043e \u043a\u043e\u0442\u043e\u0440\u043e\u043c\u0443 \u0440\u0430\u0441\u0442\u0443\u0442 \u0431\u0430\u043a\u0442\u0435\u0440\u0438\u0438?<\/strong><br><br>\u041d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435, \u0442\u0430\u043a\u043e\u0439 \u0437\u0430\u043a\u043e\u043d \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0438 \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u043e\u043d \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u0438:<br>\\(N = 5^t\\)<br>\u0417\u0434\u0435\u0441\u044c \\(N\\) &#8212; \u0447\u0438\u0441\u043b\u043e \u0431\u0430\u043a\u0442\u0435\u0440\u0438\u0439 \u0432 \u043c\u043e\u043c\u0435\u043d\u0442 \u0432\u0440\u0435\u043c\u0435\u043d\u0438 \\(t\\), \u0433\u0434\u0435 \\(t\\) &#8212; \u0432\u0440\u0435\u043c\u044f \u0440\u0430\u0437\u043b\u043e\u0436\u0435\u043d\u0438\u044f.&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u041a\u043e\u043d\u0435\u0447\u043d\u043e, \u0432\u043e\u0437\u0432\u043e\u0434\u0438\u0442\u044c \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u0436\u043d\u043e \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435, \u043d\u043e \u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430.<\/p>\n\n\n\n<p>\u041f\u0440\u0438 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0438 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u0432 \u043b\u044e\u0431\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u044b \u0442\u0430\u043a\u0436\u0435 \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e. \u041d\u043e \u043f\u0440\u0438 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0438 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b, \u043a\u0430\u043a\u0438\u0435 \u043f\u043e \u0437\u043d\u0430\u043a\u0443 \u0447\u0438\u0441\u043b\u0430 \u043c\u044b \u0431\u0443\u0434\u0435\u043c \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c?<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#f0e5ff\"><strong id=\"\u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435_\u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e_\u0447\u0438\u0441\u043b\u0430_\u0432_\u0447\u0435\u0442\u043d\u0443\u044e_\u0441\u0442\u0435\u043f\u0435\u043d\u044c\">\u0415\u0441\u043b\u0438 \u043c\u044b \u0432\u043e\u0437\u0432\u043e\u0434\u0438\u043c \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0432 \u0447\u0435\u0442\u043d\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c<\/strong> (0, 2, 4, 6, &#8230;), \u0442\u043e \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e.<br><br><strong id=\"\u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435_\u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e_\u0447\u0438\u0441\u043b\u0430_\u0432_\u043d\u0435\u0447\u0435\u0442\u043d\u0443\u044e_\u0441\u0442\u0435\u043f\u0435\u043d\u044c\">\u0412\u043e\u0437\u0432\u043e\u0434\u044f \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0432 \u043d\u0435\u0447\u0435\u0442\u043d\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c<\/strong> (1, 3, 5, 7, &#8230;), \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/library\/wp-content\/uploads\/2024\/01\/image-4-1024x669.png\" alt=\"\" class=\"wp-image-31332\" width=\"512\" height=\"335\" srcset=\"\/library\/wp-content\/uploads\/2024\/01\/image-4-1024x669.png 1024w, \/library\/wp-content\/uploads\/2024\/01\/image-4-300x196.png 300w, \/library\/wp-content\/uploads\/2024\/01\/image-4-768x502.png 768w, \/library\/wp-content\/uploads\/2024\/01\/image-4-1536x1003.png 1536w, \/library\/wp-content\/uploads\/2024\/01\/image-4.png 1600w\" sizes=\"auto, (max-width: 512px) 100vw, 512px\" \/><\/figure><\/div>\n\n\n\n<p>\u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435 \u0443\u0431\u0435\u0434\u0438\u043c\u0441\u044f, \u0447\u0442\u043e \u044d\u0442\u043e \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0442\u0430\u043a. \u041f\u043e\u0441\u0447\u0438\u0442\u0430\u0435\u043c, \u0447\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u043e \\((-2)^4=(-2)*(-2)*(-2)*(-2)=4*(-2)*(-2)=(-8)*(-2)=16\\). \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u044b \u0432\u043e\u0437\u0432\u0435\u043b\u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0432 \u0447\u0435\u0442\u043d\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0438 \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0438 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e.&nbsp;<\/p>\n\n\n\n<p>\u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0434\u0440\u0443\u0433\u043e\u0439 \u043f\u0440\u0438\u043c\u0435\u0440: \\((-3)^3=(-3)*(-3)*(-3)=9*(-3)=-27\\). \u0422\u043e \u0435\u0441\u0442\u044c \u043c\u044b \u0432\u043e\u0437\u0432\u0435\u043b\u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0432 \u043d\u0435\u0447\u0435\u0442\u043d\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0438 \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e.<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#f0e5ff\">\u0421\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u044f\u043c\u0438 \u043c\u044b \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u0435\u043c \u0432\u0441\u0442\u0440\u0435\u0442\u0438\u0442\u044c\u0441\u044f <strong>\u0432 \u041e\u0413\u042d \u0432 \u0437\u0430\u0434\u0430\u043d\u0438\u0438 \u21166.<\/strong><br><br><strong>\u0417\u0430\u0434\u0430\u043d\u0438\u0435. <\/strong><em>\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f <\/em>\\(2*(-10)^2+3*(-10)^3-5\\)<br><br><strong>\u0420\u0435\u0448\u0435\u043d\u0438\u0435. <\/strong>\u0412\u043e\u0437\u0432\u0435\u0434\u0435\u043c \\(-10\\) \u0432 \u0434\u0430\u043d\u043d\u044b\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438:&nbsp;<br><br>\\((-10)^2=100, (-10)^3=-1000\\)<br><br>\u0422\u043e\u0433\u0434\u0430 \u043f\u043e\u043b\u0443\u0447\u0438\u043c:&nbsp;<br><br>\\(2*100+3*(-1000)-5\\)<br><br><a href=\"https:\/\/umschool.net\/library\/matematika\/dejstviya-s-chislami-2\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u041d\u0430\u0439\u0434\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0434\u0430\u043d\u043d\u043e\u0433\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f<\/a>:&nbsp;<br><br>\\(2*100+3*(-1000)-5 = 200-3000-5=-2800-5=-2805\\_<br><br><strong>\u041e\u0442\u0432\u0435\u0442:<\/strong> \\(-2805\\)<\/p>\n\n\n\n<p>\u0412 \u0434\u0430\u043d\u043d\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043c\u044b \u0440\u0430\u0437\u043e\u0431\u0440\u0430\u043b\u0438\u0441\u044c, \u043a\u0430\u043a \u0440\u0430\u0431\u043e\u0442\u0430\u0442\u044c \u0441\u043e \u0441\u0442\u0435\u043f\u0435\u043d\u044f\u043c\u0438. \u041f\u043e\u0447\u0442\u0438 \u043b\u044e\u0431\u0430\u044f \u0442\u0435\u043c\u0430 \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0442\u0430\u043a \u0438 \u0438\u043d\u0430\u0447\u0435 \u043a\u0430\u0441\u0430\u0435\u0442\u0441\u044f \u044d\u0442\u043e\u0439 \u0442\u0435\u043c\u044b. \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0438\u0442\u044c \u0437\u043d\u0430\u043a\u043e\u043c\u0441\u0442\u0432\u043e \u0441 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u043e\u0439, \u0447\u0438\u0442\u0430\u0439\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0441\u0442\u0430\u0442\u044c\u044e <a href=\"https:\/\/umschool.net\/library\/matematika\/vychislenie-veroyatnosti\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u00ab\u0412\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0435 \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439\u00bb<\/a>.<\/p>\n\n\n\n<h2 class=\"has-text-align-center wp-block-heading\"><strong>\u0424\u0430\u043a\u0442\u0447\u0435\u043a<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>\u0412\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c<\/strong> \u2013 \u0430\u0440\u0438\u0444\u043c\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c \u043c\u043d\u043e\u0433\u043e\u043a\u0440\u0430\u0442\u043d\u043e\u0433\u043e \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u0447\u0438\u0441\u043b\u0430 \u043d\u0430 \u0441\u0430\u043c\u043e \u0441\u0435\u0431\u044f.&nbsp;&nbsp;<\/li><li>\u0412\u043e\u0437\u0432\u043e\u0434\u044f \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0432 \u043b\u044e\u0431\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c, \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e. \u0415\u0441\u043b\u0438 \u0436\u0435 \u0432\u043e\u0437\u0432\u043e\u0434\u0438\u0442\u044c \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \u0442\u043e \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u043a\u0430\u043a \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e (\u043f\u0440\u0438 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0438 \u0432 \u0447\u0435\u0442\u043d\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c), \u0442\u0430\u043a \u0438 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u2013 \u043f\u0440\u0438 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0438 \u0432 \u043d\u0435\u0447\u0435\u0442\u043d\u0443\u044e \u0441\u0442\u0435\u043f\u0435\u043d\u044c.&nbsp;<\/li><li>\u0415\u0441\u043b\u0438 \u043c\u044b \u0432\u043e\u0437\u0432\u043e\u0434\u0438\u043c \u0434\u0440\u043e\u0431\u044c \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0432\u043e\u0437\u0432\u0435\u0441\u0442\u0438 \u0432 \u044d\u0442\u0443 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u0438 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c.<\/li><\/ul>\n\n\n\n<h2 class=\"has-text-align-center wp-block-heading\"><strong>\u041f\u0440\u043e\u0432\u0435\u0440\u044c \u0441\u0435\u0431\u044f<\/strong><\/h2>\n\n\n\n<p><strong>\u0417\u0430\u0434\u0430\u043d\u0438\u0435 1.<\/strong><br>\u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \\(4^5\\)?<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\\(16\\)<\/li><li>\\(1024\\)<\/li><li>\\(256\\)<\/li><li>\\(4\\)<\/li><\/ol>\n\n\n\n<p><strong>\u0417\u0430\u0434\u0430\u043d\u0438\u0435 2.<\/strong><br>\u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \\((\\frac{1}{2})^3\\)?<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\\(18\\)<\/li><li>\\(14\\)<\/li><li>\\(36\\)<\/li><li>\\(38\\)<\/li><\/ol>\n\n\n\n<p><strong>\u0417\u0430\u0434\u0430\u043d\u0438\u0435 3.<\/strong><br>\u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \\(7^2*7\\)?<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\\(56\\)<\/li><li>\\(49\\)<\/li><li>\\(343\\)<\/li><li>\\(21\\)<\/li><\/ol>\n\n\n\n<p><br><strong>\u0417\u0430\u0434\u0430\u043d\u0438\u0435 4.<\/strong><br>\u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \\((-9)^2\\)?<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\\(-18\\)<\/li><li>\\(18\\)<\/li><li>\\(-81\\)<\/li><li>\\(81\\)<\/li><\/ol>\n\n\n\n<p><strong>\u0417\u0430\u0434\u0430\u043d\u0438\u0435 5.<\/strong><br>\u0427\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \\((-8)^3\\)?<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\\(-512\\)<\/li><li>\\(24\\)<\/li><li>\\(-24\\)<\/li><li>\\(512\\)<\/li><\/ol>\n\n\n\n<p><strong>\u041e\u0442\u0432\u0435\u0442\u044b: 1. \u2014 <\/strong>2; <strong>2. \u2014 <\/strong>1;<strong> 3. \u2014 <\/strong>3;<strong> 4. \u2014 <\/strong>4; <strong>5.<\/strong><strong>\u2014 <\/strong>1.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435&nbsp; \u041a\u0430\u043a \u0441\u0432\u044f\u0437\u0430\u043d\u044b \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0438 \u043d\u0430\u0448 \u043c\u043e\u0437\u0433? \u041a\u0430\u043a\u043e\u0435 \u0441\u0430\u043c\u043e\u0435 \u0431\u043e\u043b\u044c\u0448\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0437\u0430\u043f\u0438\u0441\u0430\u0442\u044c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0442\u0440\u0435\u0445 \u0446\u0438\u0444\u0440? \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043b\u0438 \u0437\u0430\u043a\u043e\u043d, \u043f\u043e \u043a\u043e\u0442\u043e\u0440\u043e\u043c\u0443 \u0440\u0430\u0441\u0442\u0443\u0442 \u0431\u0430\u043a\u0442\u0435\u0440\u0438\u0438? \u041a\u0430\u043a \u043f\u0440\u0435\u0432\u0437\u043e\u0439\u0442\u0438 \u0441\u0430\u043c\u043e\u0433\u043e \u0441\u0435\u0431\u044f? \u041c\u044b \u0447\u0430\u0441\u0442\u043e \u0441\u043b\u044b\u0448\u0438\u043c, \u0447\u0442\u043e \u0433\u043b\u0430\u0432\u043d\u043e\u0435 \u0441\u043e\u0440\u0435\u0432\u043d\u043e\u0432\u0430\u043d\u0438\u0435 \u2013 \u0441\u043e\u0440\u0435\u0432\u043d\u043e\u0432\u0430\u043d\u0438\u0435 \u0441 \u0441\u0430\u043c\u0438\u043c \u0441\u043e\u0431\u043e\u0439. \u0418 \u044d\u0442\u043e \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0442\u0430\u043a! \u0412\u0430\u0436\u043d\u043e \u0440\u0430\u0441\u0442\u0438 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0441\u0430\u043c\u043e\u0433\u043e \u0441\u0435\u0431\u044f \u0432 \u0434\u0430\u043d\u043d\u0443\u044e [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":36232,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22],"tags":[1231,27],"class_list":["post-31315","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika","tag-vozvedenie-chisla-v-stepen","tag-matematika"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0412\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0447\u0438\u0441\u043b\u0430 \u0432 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