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{"id":11126,"date":"2012-10-30T15:49:53","date_gmt":"2012-10-30T15:49:53","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11126"},"modified":"2022-01-20T01:45:17","modified_gmt":"2022-01-20T01:45:17","slug":"reduz-a-uma-so-potencia","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11126","title":{"rendered":"Reduz a uma s\u00f3 pot\u00eancia"},"content":{"rendered":"<p><ul id='GTTabs_ul_11126' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11126' class='GTTabs_curr'><a  id=\"11126_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11126' ><a  id=\"11126_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_11126'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Reduz a uma s\u00f3 pot\u00eancia:<\/p>\n<ol>\n<li>\u00a0${\\left( { &#8211; 2} \\right)^2} \\times {\\left( { &#8211; 2} \\right)^4}$<\/li>\n<li>${\\left( { &#8211; 7} \\right)^5} \\div {7^2}$<\/li>\n<li>${3^2} \\times {\\left( {{3^3}} \\right)^2}$<\/li>\n<li>${21^3} \\times {21^2} \\times {21^3}$<\/li>\n<li>${\\left( { &#8211; 3} \\right)^3} \\div {\\left( { &#8211; 3} \\right)^2}$<\/li>\n<li>$\\frac{{{7^2}}}{7}$<\/li>\n<li>${\\left( { &#8211; 3} \\right)^4} \\times {\\left( { &#8211; 3} \\right)^3} \\div {\\left( { &#8211; 3} \\right)^2}$<\/li>\n<li>${7^4} \\times {7^3}$<\/li>\n<li>${\\left( { &#8211; 3} \\right)^3} \\times {\\left( { &#8211; 3} \\right)^4} \\div \\left( { &#8211; 3} \\right)$<\/li>\n<li>$\\frac{{{2^6} \\times {{\\left( {{2^4}} \\right)}^5}}}{{{2^{24}}}}$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11126' onClick='GTTabs_show(1,11126)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11126'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( { &#8211; 2} \\right)}^2} \\times {{\\left( { &#8211; 2} \\right)}^4}}&amp; = &amp;{{{\\left( { &#8211; 2} \\right)}^6}} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( { &#8211; 7} \\right)}^5} \\div {7^2}}&amp; = &amp;{{{\\left( { &#8211; 7} \\right)}^5} \\div {{\\left( { &#8211; 7} \\right)}^2}} \\\\ \u00a0 {}&amp; = &amp;{{{\\left( { &#8211; 7} \\right)}^3}} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{3^2} \\times {{\\left( {{3^3}} \\right)}^2}}&amp; = &amp;{{3^2} \\times {3^6}} \\\\ \u00a0 {}&amp; = &amp;{{3^8}} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{21}^3} \\times {{21}^2} \\times {{21}^3}}&amp; = &amp;{{{21}^5} \\times {{21}^3}} \\\\ \u00a0 {}&amp; = &amp;{{{21}^8}} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( { &#8211; 3} \\right)}^3} \\div {{\\left( { &#8211; 3} \\right)}^2}}&amp; = &amp;{{{\\left( { &#8211; 3} \\right)}^1}} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {\\frac{{{7^2}}}{7}}&amp; = &amp;{\\frac{{{7^2}}}{{{7^1}}}} \\\\ \u00a0 {}&amp; = &amp;{{7^1}} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( { &#8211; 3} \\right)}^4} \\times {{\\left( { &#8211; 3} \\right)}^3} \\div {{\\left( { &#8211; 3} \\right)}^2}}&amp; = &amp;{{{\\left( { &#8211; 3} \\right)}^7} \\div {{\\left( { &#8211; 3} \\right)}^2}} \\\\ \u00a0 {}&amp; = &amp;{{{\\left( { &#8211; 3} \\right)}^5}} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{7^4} \\times {7^3}}&amp; = &amp;{{7^7}} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( { &#8211; 3} \\right)}^3} \\times {{\\left( { &#8211; 3} \\right)}^4} \\div \\left( { &#8211; 3} \\right)}&amp; = &amp;{{{\\left( { &#8211; 3} \\right)}^7} \\div {{\\left( { &#8211; 3} \\right)}^1}} \\\\ \u00a0 {}&amp; = &amp;{{{\\left( { &#8211; 3} \\right)}^6}} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {\\frac{{{2^6} \\times {{\\left( {{2^4}} \\right)}^5}}}{{{2^{24}}}}}&amp; = &amp;{\\frac{{{2^6} \\times {2^{20}}}}{{{2^{24}}}}} \\\\ \u00a0 {}&amp; = &amp;{\\frac{{{2^{26}}}}{{{2^{24}}}}} \\\\ \u00a0 {}&amp; = &amp;{{2^2}} \\end{array}$$<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11126' onClick='GTTabs_show(0,11126)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Reduz a uma s\u00f3 pot\u00eancia: \u00a0${\\left( { &#8211; 2} \\right)^2} \\times {\\left( { &#8211; 2} \\right)^4}$ ${\\left( { &#8211; 7} \\right)^5} \\div {7^2}$ ${3^2} \\times {\\left( {{3^3}} \\right)^2}$ ${21^3} \\times {21^2}&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20727,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[428,142,337],"series":[],"class_list":["post-11126","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7-o-ano","category-aplicando","category-numeros-inteiros","tag-7-o-ano","tag-potencias","tag-regras-operatorias-de-potencias"],"views":6712,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/7V1Pag033-5_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11126","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=11126"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11126\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20727"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11126"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11126"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11126"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11126"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}