{"id":1944,"date":"2024-11-02T14:03:55","date_gmt":"2024-11-02T11:03:55","guid":{"rendered":"https:\/\/currconv.ru\/blog\/6598-2\/"},"modified":"2024-11-02T14:03:55","modified_gmt":"2024-11-02T11:03:55","slug":"6598","status":"publish","type":"post","link":"https:\/\/currconv.ru\/blog\/6598\/","title":{"rendered":"\u041f\u0440\u0438\u043c\u0435\u0440 \u21163 \u0438\u0437 \u0437\u0430\u0434\u0430\u043d\u0438\u044f 7"},"content":{"rendered":"<div class=\"fpm_start\"><\/div>\n<p>\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle 4^{\\frac{1}{5}} \\cdot 16^{\\frac{9}{10}}<\/span>.<a href=\"javascript:void(0);\"><\/a><\/p>\n<p><span id=\"more-6598\"><\/span><\/p>\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n<h2 class=\"wp-block-heading has-text-align-center has-medium-font-size\"><strong>\u0420\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/h2>\n<p>\u0414\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c\u0438 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430\u043c\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 <span class=\"katex-eq\" data-katex-display=\"false\">(a^m)^n=a^{m+n}<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">a^n \\cdot a^m=a^{n+m}<\/span>:<\/p>\n<p>\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435:<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">4^{\\frac{1}{5}} \\cdot (4^2)^{\\frac{9}{10}}=4^{\\frac{1}{5}} \\cdot 4^{2\\cdot \\frac{9}{10}}=4^{\\frac{1}{5}} \\cdot 4^{\\frac{18}{10}}<\/span>.<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"true\">\\displaystyle 4^{\\frac{1}{5}+\\frac{18}{10}}=4^{\\frac{10}{5}}=4^2=16<\/span>.<\/p>\n<p><strong>\u041e\u0442\u0432\u0435\u0442:<\/strong> <span class=\"katex-eq\" data-katex-display=\"false\">16<\/span>.<span class=\"MathJax\" id=\"MathJax-Element-4-Frame\" tabindex=\"0\" style=\"\"><nobr><span class=\"math\" id=\"MathJax-Span-24\" style=\"width: 1.2em; display: inline-block;\"><span style=\"display: inline-block; overflow: hidden; vertical-align: -0.053em; border-left: 0px solid; width: 0px; height: 0.892em;\"><\/span><\/span><\/nobr><\/span><\/p>\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n<p><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong><strong>\u0418\u0441\u0442\u043e\u0447\u043d\u0438\u043a:<\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong> \u0414\u0435\u043c\u043e\u0432\u0435\u0440\u0441\u0438\u044f \u0415\u0413\u042d \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 2024. \u041f\u0440\u043e\u0444\u0438\u043b\u044c\u043d\u044b\u0439 \u0443\u0440\u043e\u0432\u0435\u043d\u044c (\u0417\u0430\u0434\u0430\u043d\u0438\u0435 7. \u041f\u0440\u0438\u043c\u0435\u0440 3)<\/p>\n<p><script data-noptimize=\"\" data-wpfc-render=\"false\">\nfpm_start( \"true\" );\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \\displaystyle 4^{\\frac{1}{5}} \\cdot 16^{\\frac{9}{10}}. \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0414\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c\u0438 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430\u043c\u0438 \u0441\u0442\u0435\u043f\u0435\u043d\u0435\u0439 (a^m)^n=a^{m+n} \u0438 a^n \\cdot a^m=a^{n+m}: \u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435: 4^{\\frac{1}{5}} \\cdot (4^2)^{\\frac{9}{10}}=4^{\\frac{1}{5}} \\cdot 4^{2\\cdot \\frac{9}{10}}=4^{\\frac{1}{5}} \\cdot 4^{\\frac{18}{10}}. \\displaystyle 4^{\\frac{1}{5}+\\frac{18}{10}}=4^{\\frac{10}{5}}=4^2=16. \u041e\u0442\u0432\u0435\u0442: 16. \u0418\u0441\u0442\u043e\u0447\u043d\u0438\u043a: \u0414\u0435\u043c\u043e\u0432\u0435\u0440\u0441\u0438\u044f \u0415\u0413\u042d \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 2024. \u041f\u0440\u043e\u0444\u0438\u043b\u044c\u043d\u044b\u0439 \u0443\u0440\u043e\u0432\u0435\u043d\u044c (\u0417\u0430\u0434\u0430\u043d\u0438\u0435 7. \u041f\u0440\u0438\u043c\u0435\u0440 3)<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[28],"tags":[],"class_list":["post-1944","post","type-post","status-publish","format-standard","hentry","category-zadanie7_profil"],"_links":{"self":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/1944","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/comments?post=1944"}],"version-history":[{"count":0,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/1944\/revisions"}],"wp:attachment":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/media?parent=1944"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/categories?post=1944"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/tags?post=1944"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}