{"id":21891,"date":"2025-03-24T11:28:02","date_gmt":"2025-03-24T14:28:02","guid":{"rendered":"https:\/\/xequematenem.com.br\/blog\/?p=21891"},"modified":"2025-03-24T11:28:59","modified_gmt":"2025-03-24T14:28:59","slug":"desafio-50","status":"publish","type":"post","link":"https:\/\/xequematenem.com.br\/blog\/desafio-50\/","title":{"rendered":"Descubra o valor de &#8230;"},"content":{"rendered":"\n<p>Descubra o valor da seguinte raz\u00e3o<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"109\" height=\"105\" data-src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2025\/03\/image-9.png\" alt=\"\" class=\"wp-image-21892 lazyload\" title=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 109px; --smush-placeholder-aspect-ratio: 109\/105;\"><\/figure>\n\n\n\n<p>A) 2\u00b2<\/p>\n\n\n\n<p>B) 2<sup>25<\/sup><\/p>\n\n\n\n<p>C) 25<sup>25<\/sup><\/p>\n\n\n\n<p>D) 10<sup>25<\/sup><\/p>\n\n\n\n<p>E) 100<sup>25<\/sup><\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><strong>Solu\u00e7\u00e3o<\/strong><\/p>\n\n\n\n<p>Podemos escrever a fra\u00e7\u00e3o acima transformando o 50 em 2.25<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"411\" height=\"104\" data-src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2025\/03\/image-10.png\" alt=\"\" class=\"wp-image-21893 lazyload\" title=\"\" data-srcset=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2025\/03\/image-10.png 411w, https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2025\/03\/image-10-300x76.png 300w\" data-sizes=\"(max-width: 411px) 100vw, 411px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 411px; --smush-placeholder-aspect-ratio: 411\/104;\" \/><\/figure>\n\n\n\n<p>Em seguida conseguimos efetuar a divis\u00e3o das pot\u00eancias de base 25 por terem a mesma base usando a propriedade de pot\u00eancia: se dividimos pot\u00eancias de mesma base, subtra\u00edmos os seus expoentes:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"575\" height=\"96\" src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2025\/03\/image-12.png\" alt=\"\" class=\"wp-image-21895\" title=\"\" srcset=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2025\/03\/image-12.png 575w, https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2025\/03\/image-12-300x50.png 300w\" sizes=\"(max-width: 575px) 100vw, 575px\" \/><\/figure>\n\n\n\n<p>Agora podemos lembrar que 25 \u00e9 5\u00b2, ou seja<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"521\" height=\"91\" data-src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2025\/03\/image-13.png\" alt=\"\" class=\"wp-image-21896 lazyload\" title=\"\" data-srcset=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2025\/03\/image-13.png 521w, https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2025\/03\/image-13-300x52.png 300w\" data-sizes=\"(max-width: 521px) 100vw, 521px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 521px; --smush-placeholder-aspect-ratio: 521\/91;\" \/><\/figure>\n\n\n\n<p>Como temos duas pot\u00eancias de bases diferentes, mas mesmo expoente podemos multiplicar as bases.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"257\" height=\"93\" data-src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2025\/03\/image-14.png\" alt=\"\" class=\"wp-image-21897 lazyload\" title=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 257px; --smush-placeholder-aspect-ratio: 257\/93;\"><\/figure>\n\n\n\n<p>Como n\u00e3o temos essa alternativa podemos mudar a base lembrando que <\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"395\" height=\"94\" data-src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2025\/03\/image-15.png\" alt=\"\" class=\"wp-image-21898 lazyload\" title=\"\" data-srcset=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2025\/03\/image-15.png 395w, https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2025\/03\/image-15-300x71.png 300w\" data-sizes=\"(max-width: 395px) 100vw, 395px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 395px; --smush-placeholder-aspect-ratio: 395\/94;\" \/><\/figure>\n\n\n\n<p><strong>Alternativa E<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Descubra o valor da seguinte raz\u00e3o A) 2\u00b2 B) 225 C) 2525 D) 1025 E) 10025 Solu\u00e7\u00e3o Podemos escrever a fra\u00e7\u00e3o acima transformando o 50 em 2.25 Em seguida conseguimos efetuar a divis\u00e3o das pot\u00eancias de base 25 por terem a mesma base usando a propriedade de pot\u00eancia: se dividimos pot\u00eancias de mesma base, subtra\u00edmos [&hellip;]<\/p>\n","protected":false},"author":11,"featured_media":21892,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[86],"tags":[],"area-do-conhecimento":[118,132],"assunto":[33],"class_list":["post-21891","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-questoes-extras","area-do-conhecimento-matematica-e-suas-tecnologias","area-do-conhecimento-matematica","assunto-logica"],"_links":{"self":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/21891","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/comments?post=21891"}],"version-history":[{"count":1,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/21891\/revisions"}],"predecessor-version":[{"id":21899,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/21891\/revisions\/21899"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media\/21892"}],"wp:attachment":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media?parent=21891"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/categories?post=21891"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/tags?post=21891"},{"taxonomy":"area-do-conhecimento","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/area-do-conhecimento?post=21891"},{"taxonomy":"assunto","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/assunto?post=21891"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}