{"id":281,"date":"2023-07-06T22:39:03","date_gmt":"2023-07-06T22:39:03","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%81%d1%82%d0%b5%d0%bf%d0%b5%d0%bd%d1%8c-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%b0\/"},"modified":"2023-07-06T22:39:03","modified_gmt":"2023-07-06T22:39:03","slug":"%d1%81%d1%82%d0%b5%d0%bf%d0%b5%d0%bd%d1%8c-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%b0","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%81%d1%82%d0%b5%d0%bf%d0%b5%d0%bd%d1%8c-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%b0\/","title":{"rendered":"\u0421\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430"},"content":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0430\u0436\u0435 \u043f\u043e\u0442\u0440\u0435\u043d\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044f \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFCual-es-la-potencia-de-un-monomio\"><\/span> \u041a\u0430\u043a\u043e\u0432\u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435, <strong>\u0447\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430, \u0432\u043e\u0437\u0432\u0435\u0434\u0438\u0442\u0435 \u043a\u0430\u0436\u0434\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u043c\u043e\u043d\u043e\u043c\u0430 \u0432 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438<\/strong> . \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0435\u0433\u043e \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430 \u0438 \u0435\u0433\u043e \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0445 (\u0431\u0443\u043a\u0432) \u0432 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/puissance-dun-monome-exemple.png\" alt=\"\u043a\u0430\u043a\u043e\u0432\u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430\" class=\"wp-image-362\" width=\"179\" height=\"180\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0418\u0437 \u0441\u0432\u043e\u0439\u0441\u0442\u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u043f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0432\u043e\u0437\u0432\u043e\u0434\u0438\u043c \u0443\u0436\u0435 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u044b\u0439 \u0447\u043b\u0435\u043d, \u0434\u0432\u0430 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043f\u0435\u0440\u0435\u043c\u043d\u043e\u0436\u0430\u044e\u0442\u0441\u044f. \u041f\u043e \u044d\u0442\u043e\u0439 \u043f\u0440\u0438\u0447\u0438\u043d\u0435 <strong>\u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u043e\u043d\u043e\u043c\u0430 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043a\u0430\u0436\u0434\u043e\u0439 \u0431\u0443\u043a\u0432\u044b \u0432\u0441\u0435\u0433\u0434\u0430 \u0443\u043c\u043d\u043e\u0436\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c, \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u044e\u0449\u0438\u0439 \u0441\u0442\u0435\u043f\u0435\u043d\u044c<\/strong> .<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043d\u0430\u0434\u043e \u0443\u0447\u0438\u0442\u044b\u0432\u0430\u0442\u044c \u0438 \u0442\u043e, \u0447\u0442\u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u043e\u043d\u043e\u043c\u0430 \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u0437\u043d\u0430\u043a\u0430 \u043c\u043e\u043d\u043e\u043c\u0430:<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li> <span style=\"color:#000000;font-weight: normal;\">\u0421\u0442\u0435\u043f\u0435\u043d\u044c \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u043c\u043e\u043d\u043e\u043c\u0430 \u0432\u0441\u0435\u0433\u0434\u0430 \u043f\u043e\u0440\u043e\u0436\u0434\u0430\u0435\u0442 \u0434\u0440\u0443\u0433\u043e\u0439 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u043c\u043e\u043d\u043e\u043c, \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e \u043e\u0442 \u0447\u0435\u0442\u043d\u043e\u0441\u0442\u0438 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u0438:<\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-193375c970531363b63a4ed9aeabf2f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(3x^5\\right)^2 = 3^2\\left(x^5\\right)^2 = 9x^{10}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"190\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-34989ceec713c9a91e89bb2a5b480cfc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(3x^5\\right)^3 = 3^3\\left(x^5\\right)^3 = 27x^{15}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"199\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li> <span style=\"color:#000000;font-weight: normal;\">\u041e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u043c\u043e\u043d\u043e\u043c, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u044b\u0439 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0441 \u0447\u0435\u0442\u043d\u044b\u043c \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0435\u043c, \u0434\u0430\u0435\u0442 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u043c\u043e\u043d\u043e\u043c:<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-48a6f2ab5e471feee96f99008fdab38c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(-3x^5\\right)^2 = (-3)^2\\left(x^5\\right)^2 = 9x^{10}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"232\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#000000;font-weight: normal;\">\u041e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u043c\u043e\u043d\u043e\u043c, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u044b\u0439 \u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u0441 \u043d\u0435\u0447\u0435\u0442\u043d\u044b\u043c \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u0435\u043c, \u0432\u0441\u0435\u0433\u0434\u0430 \u0440\u0430\u0432\u0435\u043d \u0434\u0440\u0443\u0433\u043e\u043c\u0443 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u043c\u0443 \u043c\u043e\u043d\u043e\u043c\u0443:<\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c210f6e82c3c8fb417e7c5088c0cadcd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(-3x^5\\right)^3 = (-3)^3\\left(x^5\\right)^3 = -27x^{15}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"255\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-potencias-de-monomios\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440\u044b \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u043d\u0430\u0433\u043b\u044f\u0434\u043d\u043e \u043f\u043e\u043d\u044f\u0442\u044c, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u0430, \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u0430: <\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a1e51fcc4fe828722bfa6963d3540e08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(5x^6\\right)^2 = 5^2\\left(x^6\\right)^2 = 5^2x^{6\\cdot 2} = 25x^{12}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"268\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-488af8cc2d389d0a9012531e595a51e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(2x^5\\right)^4 = 2^4\\left(x^5\\right)^4 = 2^4x^{5\\cdot 4} = 16x^{20}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"268\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-931e60b61878fcf9dda31deb0eac0178_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(-4y^3\\right)^2 = (-4)^2\\left(y^3\\right)^2 = (-4)^2y^{3\\cdot 2} = 16y^{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"326\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:25px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-43073f3940619cc05ddaf143d91031ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(3x^4y\\right)^3 = 3^3\\left(x^4y\\right)^3 = 3^3x^{4\\cdot 3}y^{1\\cdot 3} = 27x^{12}y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"331\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-841e3847493c3454e6e0cde2b389de9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(-2a^5b^7\\right)^3 = (-2)^3\\left(a^5b^7\\right)^3 = (-2)^3a^{5\\cdot 3}b^{7\\cdot 3} = -8a^{15}b^{21}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"417\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<\/ul>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u0438\u0442\u0435, \u043d\u0430\u0439\u0442\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043b\u0435\u0433\u043a\u043e. \u041e\u0434\u043d\u0430\u043a\u043e \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0441 \u043c\u043e\u043d\u043e\u043c\u0430\u043c\u0438 \u0431\u043e\u043b\u0435\u0435 \u0441\u043b\u043e\u0436\u043d\u044b, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0435 \u0438 \u0434\u0435\u043b\u0435\u043d\u0438\u0435. \u0418\u043c\u0435\u043d\u043d\u043e \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u043c \u0432\u0430\u043c \u043f\u0440\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u044b, \u0433\u0434\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u043a\u0430\u043a <strong><span style=\"text-decoration: underline;\"> \u0443\u043c\u043d\u043e\u0436\u0430\u0442\u044c \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u044b <\/span><\/strong> \u0438 \u043a\u0430\u043a <strong><span style=\"text-decoration: underline;\"> \u0434\u0435\u043b\u0438\u0442\u044c \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u044b <\/span><\/strong> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-la-potencia-de-un-monomio\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u043e \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u043e\u043d\u043e\u043c\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041d\u0438\u0436\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0439 \u043d\u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u043c\u043e\u0433\u043b\u0438 \u0431\u043e\u043b\u044c\u0448\u0435 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f:<\/p>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043c\u043e\u043d\u043e\u043c\u043e\u0432: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3fd531461cb852f7cf8f4e4f6505c96f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(-8x^4\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"93\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d6f2ba93dfed5bc85b09053c83b88ef3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(2x^5\\right)^4\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"78\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1c8ab8f00932480e0953058f0f743ca4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(-2a^7\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"92\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-867a4f9c84a73e4dbb37786b7e5f8c04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(7x^3\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"79\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong> <\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-20a7243c8e76a50f25b1da07921e231e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(-8x^4\\right)^2=(-8)^2\\left(x^4\\right)^2 = (-8)^2x^{4\\cdot 2} = \\bm{64x^{8}}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"361\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-77111203309c0cb451f18f435bc9860a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(2x^5\\right)^4=2^4\\left(x^5\\right)^4 = 2^4x^{5\\cdot 4} = \\bm{16x^{20}}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"298\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-53f7351467b22d0b80e98b9b6324ca19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(-2a^7\\right)^3=(-2)^3\\left(a^7\\right)^3 = (-2)^3a^{7\\cdot 3} = \\bm{-8a^{21}}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"368\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-abe3e5c5ab2dd7c19ada4ce2687d9f2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(7x^3\\right)^3 =7^3\\left(x^3\\right)^3 = 7^3x^{3\\cdot 3} = \\bm{343x^{9}}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"301\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u0420\u0435\u0448\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4e9b47dffd06da80cf9b711982ddbcfc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(5x^8y^2\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"96\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6310215b988e0b2e4556425f75dcc5be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(-x^3y^5z^4\\right)^6\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"117\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ba7dd3405f652ab6b9f73d75aafde6de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(-3x^3yz\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"111\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4427cc3cf1fa9aebe3473d6db57381e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(-2x^5y^4\\right)^5\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"110\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong> <\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6e47970fe7ab8f9b3ba0f920f0b2d2aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(5x^8y^2\\right)^3=(5)^3\\left(x^8y^2\\right)^3 = \\bm{125x^{24}y^6}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"304\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3b187efacbe5cc3ab945529456309fca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(-x^3y^5z^4\\right)^6=(-1)^6\\left(x^3y^5z^4\\right)^6 = \\bm{x^{18}y^{30}z^{24}}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"359\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1599cfc710d1440c7c840ec4e4d02832_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(-3x^3yz\\right)^3=(-3)^3\\left(x^3yz\\right)^3 = \\bm{-27x^9y^3z^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"348\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c1beb5e3d67487de00e2bec3da29a165_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(-2x^5y^4\\right)^5 =(-2)^5\\left(x^5y^4\\right)^5 = \\bm{-32x^{25}y^{20}}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"343\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> \u0415\u0441\u043b\u0438 \u0432\u044b \u0437\u0430\u0448\u043b\u0438 \u0442\u0430\u043a \u0434\u0430\u043b\u0435\u043a\u043e, \u0437\u043d\u0430\u0447\u0438\u0442, \u0432\u044b \u0443\u0436\u0435 \u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u0440\u0435\u0448\u0430\u0442\u044c \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432. \u041e\u0442\u043b\u0438\u0447\u043d\u043e!\ud83d\udc4d\u0421\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u0448\u0430\u0433 \u2014 \u043d\u0430\u0443\u0447\u0438\u0442\u044c\u0441\u044f \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0442\u044c \u043a\u043e\u043c\u0431\u0438\u043d\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u044b\u0435 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0441 \u043c\u043e\u043d\u043e\u043c\u0430\u043c\u0438 (\u0431\u043e\u043b\u0435\u0435 \u043e\u0434\u043d\u043e\u0439 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0437\u0430 \u0440\u0430\u0437). \u0418\u0442\u0430\u043a, \u043f\u0440\u0438\u0448\u043b\u043e \u0432\u0440\u0435\u043c\u044f \u043f\u0435\u0440\u0435\u0439\u0442\u0438 \u043d\u0430 \u043d\u043e\u0432\u044b\u0439 \u0443\u0440\u043e\u0432\u0435\u043d\u044c \u0438 \u043f\u043e\u043f\u0440\u043e\u0431\u043e\u0432\u0430\u0442\u044c \u044d\u0442\u0438 \ud83d\udc49\ud83d\udc49 <strong><span style=\"text-decoration: underline;\"> \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0441 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u0430\u043c\u0438 <\/span><\/strong> !\ud83d\udc48\ud83d\udc48<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u0432 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 \u043e\u0434\u043d\u043e\u0447\u043b\u0435\u043d\u043e\u0432 \u0438 \u0434\u0430\u0436\u0435 \u043f\u043e\u0442\u0440\u0435\u043d\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044f \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. \u041a\u0430\u043a\u043e\u0432\u0430 \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430? \u0412 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435, \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430, \u0432\u043e\u0437\u0432\u0435\u0434\u0438\u0442\u0435 \u043a\u0430\u0436\u0434\u044b\u0439 \u044d\u043b\u0435\u043c\u0435\u043d\u0442 \u043c\u043e\u043d\u043e\u043c\u0430 \u0432 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 . \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0435\u0433\u043e \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u0430 \u0438 \u0435\u0433\u043e &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%81%d1%82%d0%b5%d0%bf%d0%b5%d0%bd%d1%8c-%d0%bc%d0%be%d0%bd%d0%be%d0%bc%d0%b0\/\"> <span class=\"screen-reader-text\">\u0421\u0442\u0435\u043f\u0435\u043d\u044c \u043c\u043e\u043d\u043e\u043c\u0430<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 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