{"id":11133,"date":"2012-10-30T18:23:17","date_gmt":"2012-10-30T18:23:17","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11133"},"modified":"2022-01-20T01:49:05","modified_gmt":"2022-01-20T01:49:05","slug":"calcula-usando-se-possivel-as-regras-operatorias-das-potencias","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11133","title":{"rendered":"Calcula, usando, se poss\u00edvel, as regras operat\u00f3rias das pot\u00eancias"},"content":{"rendered":"<p><ul id='GTTabs_ul_11133' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11133' class='GTTabs_curr'><a  id=\"11133_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11133' ><a  id=\"11133_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_11133'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Calcula, usando, se poss\u00edvel, as regras operat\u00f3rias das pot\u00eancias:<\/p>\n<ol>\n<li>${2^3} \\times {2^4}$<\/li>\n<li>${\\left( {{5^4}} \\right)^3} \\div {5^{10}}$<\/li>\n<li>${\\left( { &#8211; 4} \\right)^6} \\div {2^6}$<\/li>\n<li>$\\left( { &#8211; 81} \\right) \\div {\\left( { &#8211; 3} \\right)^4}$<\/li>\n<li>${2^3} \\times {\\left( { &#8211; 2} \\right)^4}$<\/li>\n<li>${\\left( { &#8211; 3} \\right)^5} \\div {3^5}$<\/li>\n<li>${\\left( { &#8211; 1} \\right)^{100}} \\times {\\left( { &#8211; 1} \\right)^2}$<\/li>\n<li>${2^3} + {2^4}$<\/li>\n<li>${3^2} &#8211; \\left( { &#8211; {3^3}} \\right)$<\/li>\n<li>${\\left( { &#8211; 2} \\right)^2} + {\\left( { &#8211; 3} \\right)^2}$<\/li>\n<li>${\\left( { &#8211; 2} \\right)^2} \\times {\\left( { &#8211; 3} \\right)^2}$<\/li>\n<li>${3^2} \\times {\\left( { &#8211; 3} \\right)^3}$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11133' onClick='GTTabs_show(1,11133)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11133'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{2^3} \\times {2^4}}&amp; = &amp;{{2^7}} \\\\ \u00a0 {}&amp; = &amp;{128} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( {{5^4}} \\right)}^3} \\div {5^{10}}}&amp; = &amp;{{5^{12}} \\div {5^{10}}} \\\\ \u00a0 {}&amp; = &amp;{{5^2}} \\\\ \u00a0 {}&amp; = &amp;{25} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( { &#8211; 4} \\right)}^6} \\div {2^6}}&amp; = &amp;{{{\\left( { &#8211; 2} \\right)}^6}} \\\\ \u00a0 {}&amp; = &amp;{64} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {\\left( { &#8211; 81} \\right) \\div {{\\left( { &#8211; 3} \\right)}^4}}&amp; = &amp;{ &#8211; {{\\left( { + 3} \\right)}^4} \\div {{\\left( { &#8211; 3} \\right)}^4}} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; {{\\left( { &#8211; 1} \\right)}^4}} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 1} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{2^3} \\times {{\\left( { &#8211; 2} \\right)}^4}}&amp; = &amp;{{2^3} \\times {2^4}} \\\\ \u00a0 {}&amp; = &amp;{{2^7}} \\\\ \u00a0 {}&amp; = &amp;{128} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( { &#8211; 3} \\right)}^5} \\div {3^5}}&amp; = &amp;{{{\\left( { &#8211; 1} \\right)}^5}} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 1} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( { &#8211; 1} \\right)}^{100}} \\times {{\\left( { &#8211; 1} \\right)}^2}}&amp; = &amp;{{{\\left( { &#8211; 1} \\right)}^{102}}} \\\\ \u00a0 {}&amp; = &amp;1 \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{2^3} + {2^4}}&amp; = &amp;{8 + 16} \\\\ \u00a0 {}&amp; = &amp;{24} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{3^2} &#8211; \\left( { &#8211; {3^3}} \\right)}&amp; = &amp;{9 &#8211; \\left( { &#8211; 27} \\right)} \\\\ \u00a0 {}&amp; = &amp;{9 + 27} \\\\ \u00a0 {}&amp; = &amp;{36} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( { &#8211; 2} \\right)}^2} + {{\\left( { &#8211; 3} \\right)}^2}}&amp; = &amp;{4 + 9} \\\\ \u00a0 {}&amp; = &amp;{13} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{{\\left( { &#8211; 2} \\right)}^2} \\times {{\\left( { &#8211; 3} \\right)}^2}}&amp; = &amp;{{6^2}} \\\\ \u00a0 {}&amp; = &amp;{36} \\end{array}$$<\/li>\n<li>Ora,<br \/>\n$$\\begin{array}{*{20}{l}} \u00a0 {{3^2} \\times {{\\left( { &#8211; 3} \\right)}^3}}&amp; = &amp;{{{\\left( { &#8211; 3} \\right)}^2} \\times {{\\left( { &#8211; 3} \\right)}^3}} \\\\ \u00a0 {}&amp; = &amp;{{{\\left( { &#8211; 3} \\right)}^5}} \\\\ \u00a0 {}&amp; = &amp;{ &#8211; 243} \\end{array}$$<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11133' onClick='GTTabs_show(0,11133)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Calcula, usando, se poss\u00edvel, as regras operat\u00f3rias das pot\u00eancias: ${2^3} \\times {2^4}$ ${\\left( {{5^4}} \\right)^3} \\div {5^{10}}$ ${\\left( { &#8211; 4} \\right)^6} \\div {2^6}$ $\\left( { &#8211; 81} \\right) \\div {\\left(&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20728,"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-11133","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":3049,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/7V1Pag033-6_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11133","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=11133"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11133\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20728"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11133"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11133"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11133"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11133"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}