{"id":2166,"date":"2025-01-22T10:05:35","date_gmt":"2025-01-22T07:05:35","guid":{"rendered":"https:\/\/currconv.ru\/blog\/8156-2\/"},"modified":"2025-01-22T10:05:35","modified_gmt":"2025-01-22T07:05:35","slug":"8156","status":"publish","type":"post","link":"https:\/\/currconv.ru\/blog\/8156\/","title":{"rendered":"\u041f\u0440\u0438\u043c\u0435\u0440 \u21166 \u0438\u0437 \u0437\u0430\u0434\u0430\u043d\u0438\u044f 8"},"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 \\frac{(a^5)^4}{a^{16}}<\/span> \u043f\u0440\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">a=5<\/span>.<\/p>\n<p><span id=\"more-8156\"><\/span><\/p>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n<h2 class=\"wp-block-heading has-text-align-center\" id=\"block-8a83fca7-55de-40fe-b45a-a479859ac319\"><strong>\u0420\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/h2>\n<p>\u0412\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^n)^m=a^{nm}<\/span> \u0438 <span class=\"katex-eq\" data-katex-display=\"false\">a^n \\div a^m=a^{n-m}:<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{a^{5 \\cdot 4}}{a^{16}}=\\frac{a^{20}}{a^{16}}=a^{20-16}=a^{4}<\/span>.<\/p>\n<p>\u041d\u0430\u0439\u0434\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043f\u0440\u0438 <span class=\"katex-eq\" data-katex-display=\"false\">a=5:<\/span><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">5^4=5^2 \\cdot 5^2 =25 \\cdot 25=625<\/span>.<\/p>\n<p><strong>\u041e\u0442\u0432\u0435\u0442:<\/strong>  <span class=\"katex-eq\" data-katex-display=\"false\">625<\/span>.<\/p>\n<hr class=\"wp-block-separator has-alpha-channel-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> \u041e\u0413\u042d-2025. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430. \u0422\u0438\u043f\u043e\u0432\u044b\u0435 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430\u0446\u0438\u043e\u043d\u043d\u044b\u0435 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u044b. 36 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432. \u042f\u0449\u0435\u043d\u043a\u043e \u0418. \u0412. (\u0432\u0430\u0440\u0438\u0430\u043d\u0442 15) <\/p>\n<p>\u041e\u0413\u042d-2024. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430. \u0422\u0438\u043f\u043e\u0432\u044b\u0435 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430\u0446\u0438\u043e\u043d\u043d\u044b\u0435 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u044b. 36 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432 (\u0432\u0430\u0440\u0438\u0430\u043d\u0442 5) <\/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 \\frac{(a^5)^4}{a^{16}} \u043f\u0440\u0438 a=5. \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0412\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^n)^m=a^{nm} \u0438 a^n \\div a^m=a^{n-m}: \\displaystyle \\frac{a^{5 \\cdot 4}}{a^{16}}=\\frac{a^{20}}{a^{16}}=a^{20-16}=a^{4}. \u041d\u0430\u0439\u0434\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043f\u0440\u0438 a=5: 5^4=5^2 \\cdot 5^2 =25 \\cdot 25=625. \u041e\u0442\u0432\u0435\u0442: 625. \u0418\u0441\u0442\u043e\u0447\u043d\u0438\u043a: \u041e\u0413\u042d-2025. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430. \u0422\u0438\u043f\u043e\u0432\u044b\u0435 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430\u0446\u0438\u043e\u043d\u043d\u044b\u0435 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u044b. 36 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432. \u042f\u0449\u0435\u043d\u043a\u043e \u0418. \u0412. (\u0432\u0430\u0440\u0438\u0430\u043d\u0442 15) \u041e\u0413\u042d-2024. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430. \u0422\u0438\u043f\u043e\u0432\u044b\u0435 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430\u0446\u0438\u043e\u043d\u043d\u044b\u0435 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u044b. 36 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432 (\u0432\u0430\u0440\u0438\u0430\u043d\u0442 5)<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31],"tags":[],"class_list":["post-2166","post","type-post","status-publish","format-standard","hentry","category-zadanie-8-oge"],"_links":{"self":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/2166","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=2166"}],"version-history":[{"count":0,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/2166\/revisions"}],"wp:attachment":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/media?parent=2166"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/categories?post=2166"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/tags?post=2166"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}