{"id":2851,"date":"2025-01-29T05:23:00","date_gmt":"2025-01-29T02:23:00","guid":{"rendered":"https:\/\/currconv.ru\/blog\/11398-2\/"},"modified":"2025-01-29T05:23:00","modified_gmt":"2025-01-29T02:23:00","slug":"11398","status":"publish","type":"post","link":"https:\/\/currconv.ru\/blog\/11398\/","title":{"rendered":"\u041f\u0440\u0438\u043c\u0435\u0440 \u211614 \u0438\u0437 \u0437\u0430\u0434\u0430\u043d\u0438\u044f 20"},"content":{"rendered":"<div class=\"fpm_start\"><\/div>\n<p>\u0421\u043e\u043a\u0440\u0430\u0442\u0438\u0442\u0435 \u0434\u0440\u043e\u0431\u044c <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{80^n}{4^{2n-1} \\cdot 5^{n-2}} <\/span>.<\/p>\n<p><span id=\"more-11398\"><\/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>\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\">\\displaystyle (a^m)^n=a^{mn}; \\frac{a^m}{a^n}=a^{m-n}.<\/span><\/p>\n<\/p>\n<p>\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c:<\/p>\n<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">80^n=(20 \\cdot 4)^n=(5 \\cdot 4 \\cdot 4)^n=(5 \\cdot 4^2)^n=5^n \\cdot 4^{2n}.<\/span><\/p>\n<p>\u0421\u043e\u043a\u0440\u0430\u0442\u0438\u043c \u0434\u0440\u043e\u0431\u044c:<\/p>\n<\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\"> \\displaystyle \\frac{5^n \\cdot 4^{2n}}{4^{2n-1} \\cdot 5^{n-2}}=\\frac{4^{2n}}{4^{2n-1}} \\cdot \\frac{5^n}{5^{n-2}}=4^{2n-(2n-1)} \\cdot 5^{n-(n-2)}=4^{2n-2n+1} \\cdot 5^{n-n+2}=4^1 \\cdot 5^2=4 \\cdot 25=100.<\/span><\/p>\n<p><script data-noptimize=\"\" data-wpfc-render=\"false\">\nfpm_start( \"true\" );\n<\/script><\/p>\n<p><strong>\u041e\u0442\u0432\u0435\u0442:<\/strong>&nbsp;<span class=\"katex-eq\" data-katex-display=\"false\">100<\/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 23) <\/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 13) <\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0421\u043e\u043a\u0440\u0430\u0442\u0438\u0442\u0435 \u0434\u0440\u043e\u0431\u044c \\displaystyle \\frac{80^n}{4^{2n-1} \\cdot 5^{n-2}} . \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 \\displaystyle (a^m)^n=a^{mn}; \\frac{a^m}{a^n}=a^{m-n}. \u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u0435\u043c \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c: 80^n=(20 \\cdot 4)^n=(5 \\cdot 4 \\cdot 4)^n=(5 \\cdot 4^2)^n=5^n \\cdot 4^{2n}. \u0421\u043e\u043a\u0440\u0430\u0442\u0438\u043c \u0434\u0440\u043e\u0431\u044c: \\displaystyle \\frac{5^n \\cdot 4^{2n}}{4^{2n-1} \\cdot 5^{n-2}}=\\frac{4^{2n}}{4^{2n-1}} \\cdot \\frac{5^n}{5^{n-2}}=4^{2n-(2n-1)} \\cdot 5^{n-(n-2)}=4^{2n-2n+1} \\cdot 5^{n-n+2}=4^1 \\cdot 5^2=4 \\cdot 25=100. \u041e\u0442\u0432\u0435\u0442:&nbsp;100. \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. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[59],"tags":[],"class_list":["post-2851","post","type-post","status-publish","format-standard","hentry","category-zadanie-20"],"_links":{"self":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/2851","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=2851"}],"version-history":[{"count":0,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/posts\/2851\/revisions"}],"wp:attachment":[{"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/media?parent=2851"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/categories?post=2851"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/currconv.ru\/blog\/wp-json\/wp\/v2\/tags?post=2851"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}