{"id":22293,"date":"2022-10-16T00:54:27","date_gmt":"2022-10-15T23:54:27","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22293"},"modified":"2022-10-16T01:46:14","modified_gmt":"2022-10-16T00:46:14","slug":"apresenta-cada-expressao-na-forma-de-potencia","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22293","title":{"rendered":"Apresenta cada express\u00e3o na forma de pot\u00eancia"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_22293' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22293' class='GTTabs_curr'><a  id=\"22293_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22293' ><a  id=\"22293_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_22293'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Apresenta cada express\u00e3o na forma de pot\u00eancia e indica o seu sinal, utilizando as regras operat\u00f3rias das pot\u00eancias:<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 33.3333%; text-align: left;\">\n<ol>\n<li>\\({2^4} \\times {2^5}\\)<\/li>\n<li>\\({\\left( { &#8211; 4} \\right)^9} \\div {\\left( { &#8211; 4} \\right)^3}\\)<\/li>\n<li>\\({\\left( {\\frac{2}{5}} \\right)^3} \\times {\\left( {\\frac{2}{5}} \\right)^7}\\)<\/li>\n<\/ol>\n<\/td>\n<td style=\"width: 33.3333%; text-align: left;\">\n<ol start=\"4\">\n<li>\\({\\left( { &#8211; \\frac{8}{5}} \\right)^{11}} \\div {\\left( { &#8211; \\frac{8}{5}} \\right)^8}\\)<\/li>\n<li>\\({\\left[ {{{\\left( { &#8211; 5} \\right)}^6}} \\right]^2}\\)<\/li>\n<li>\\({3^{12}} \\div {3^7} \\times {\\left( { &#8211; 3} \\right)^8}\\)<\/li>\n<\/ol>\n<\/td>\n<td style=\"width: 33.3333%; text-align: left;\">\n<ol start=\"7\">\n<li>\\({\\left( { &#8211; \\frac{3}{4}} \\right)^7} \\times {\\left( { &#8211; \\frac{3}{4}} \\right)^2} \\div {\\left( {\\frac{4}{3}} \\right)^9}\\)<\/li>\n<li>\\({\\left( {\\frac{2}{5}} \\right)^7} \\times {\\left( {\\frac{7}{3}} \\right)^7} \\times {\\left( {\\frac{{14}}{{15}}} \\right)^5}\\)<\/li>\n<li>\\({\\left( {\\frac{7}{4}} \\right)^5} \\div {\\left( {\\frac{1}{2}} \\right)^5} \\times {\\left( { &#8211; \\frac{7}{2}} \\right)^2}\\)<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22293' onClick='GTTabs_show(1,22293)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22293'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><\/p>\n<ol>\n<li>\\({2^4} \\times {2^5} = {2^{4 + 5}} = {2^9}\\)<br \/>A pot\u00eancia designa um n\u00famero positivo.<br \/><br \/><\/li>\n<li>\\({\\left( { &#8211; 4} \\right)^9} \\div {\\left( { &#8211; 4} \\right)^3} = {\\left( { &#8211; 4} \\right)^{9 &#8211; 3}} = {\\left( { &#8211; 4} \\right)^6} = {4^6}\\)<br \/>A pot\u00eancia designa um n\u00famero positivo.<br \/><br \/><\/li>\n<li>\\({\\left( {\\frac{2}{5}} \\right)^3} \\times {\\left( {\\frac{2}{5}} \\right)^7} = {\\left( {\\frac{2}{5}} \\right)^{3 + 7}} = {\\left( {\\frac{2}{5}} \\right)^{10}}\\)<br \/>A pot\u00eancia designa um n\u00famero positivo.<br \/><br \/><\/li>\n<li>\\({\\left( { &#8211; \\frac{8}{5}} \\right)^{11}} \\div {\\left( { &#8211; \\frac{8}{5}} \\right)^8} = {\\left( { &#8211; \\frac{8}{5}} \\right)^{11 &#8211; 8}} = {\\left( { &#8211; \\frac{8}{5}} \\right)^3}\\)<br \/>A pot\u00eancia designa um n\u00famero negativo.<br \/><br \/><\/li>\n<li>\\({\\left[ {{{\\left( { &#8211; 5} \\right)}^6}} \\right]^2} = {\\left( { &#8211; 5} \\right)^{6 \\times 2}} = {\\left( { &#8211; 5} \\right)^{12}} = {5^{12}}\\)<br \/>A pot\u00eancia designa um n\u00famero positivo.<br \/><br \/><\/li>\n<li>\\({3^{12}} \\div {3^7} \\times {\\left( { &#8211; 3} \\right)^8} = {3^{12 &#8211; 7}} \\times {\\left( { &#8211; 3} \\right)^8} = {3^5} \\times {\\left( { + 3} \\right)^8} = {3^{13}}\\)<br \/>A pot\u00eancia designa um n\u00famero positivo.<br \/><br \/><\/li>\n<li>\\({\\left( { &#8211; \\frac{3}{4}} \\right)^7} \\times {\\left( { &#8211; \\frac{3}{4}} \\right)^2} \\div {\\left( {\\frac{4}{3}} \\right)^9} = {\\left( { &#8211; \\frac{3}{4}} \\right)^{7 + 2}} \\div {\\left( {\\frac{4}{3}} \\right)^9} = {\\left( { &#8211; \\frac{3}{4}} \\right)^9} \\div {\\left( {\\frac{4}{3}} \\right)^9} = {\\left( { &#8211; \\frac{3}{4} \\div \\frac{4}{3}} \\right)^9} = {\\left( { &#8211; \\frac{3}{4} \\times \\frac{3}{4}} \\right)^9} = {\\left( { &#8211; \\frac{9}{{16}}} \\right)^9}\\)<br \/>A pot\u00eancia designa um n\u00famero negativo.<br \/><br \/><\/li>\n<li>\\({\\left( {\\frac{2}{5}} \\right)^7} \\times {\\left( {\\frac{7}{3}} \\right)^7} \\times {\\left( {\\frac{{14}}{{15}}} \\right)^5} = {\\left( {\\frac{2}{5} \\times \\frac{7}{3}} \\right)^7} \\times {\\left( {\\frac{{14}}{{15}}} \\right)^5} = {\\left( {\\frac{{14}}{{15}}} \\right)^7} \\times {\\left( {\\frac{{14}}{{15}}} \\right)^5} = {\\left( {\\frac{{14}}{{15}}} \\right)^{7 + 5}} = {\\left( {\\frac{{14}}{{15}}} \\right)^{12}}\\)<br \/>A pot\u00eancia designa um n\u00famero positivo.<br \/><br \/><\/li>\n<li>\\({\\left( {\\frac{7}{4}} \\right)^5} \\div {\\left( {\\frac{1}{2}} \\right)^5} \\times {\\left( { &#8211; \\frac{7}{2}} \\right)^2} = {\\left( {\\frac{7}{4} \\div \\frac{1}{2}} \\right)^5} \\times {\\left( { &#8211; \\frac{7}{2}} \\right)^2} = {\\left( {\\frac{7}{4} \\times 2} \\right)^5} \\times {\\left( { &#8211; \\frac{7}{2}} \\right)^2} = {\\left( {\\frac{7}{2}} \\right)^5} \\times {\\left( { + \\frac{7}{2}} \\right)^2} = {\\left( {\\frac{7}{2}} \\right)^{5 + 2}} = {\\left( {\\frac{7}{2}} \\right)^7}\\)<br \/>A pot\u00eancia designa um n\u00famero positivo.<\/li>\n<\/ol>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22293' onClick='GTTabs_show(0,22293)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Apresenta cada express\u00e3o na forma de pot\u00eancia e indica o seu sinal, utilizando as regras operat\u00f3rias das pot\u00eancias: \\({2^4} \\times {2^5}\\) \\({\\left( { &#8211; 4} \\right)^9} \\div {\\left( { &#8211; 4}&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19173,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,664],"tags":[424,142,337],"series":[],"class_list":["post-22293","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-numeros-reais","tag-8-o-ano","tag-potencias","tag-regras-operatorias-de-potencias"],"views":266,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat64.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22293","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=22293"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22293\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19173"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22293"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22293"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22293"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22293"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}