{"id":6590,"date":"2011-03-09T23:41:28","date_gmt":"2011-03-09T23:41:28","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6590"},"modified":"2022-01-03T00:49:33","modified_gmt":"2022-01-03T00:49:33","slug":"determina","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6590","title":{"rendered":"Determina"},"content":{"rendered":"<p><ul id='GTTabs_ul_6590' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6590' class='GTTabs_curr'><a  id=\"6590_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6590' ><a  id=\"6590_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_6590'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Determina:<\/p>\n<ol>\n<li>${{3}^{3}}\\div {{3}^{6}}+{{\\left( {{3}^{2}} \\right)}^{-1}}$<\/li>\n<li>${{10}^{0}}+{{7}^{-1}}\\times {{7}^{2}}\\div {{7}^{-3}}$<\/li>\n<li>${{({{4}^{0}}-{{4}^{-1}}+{{4}^{-2}})}^{-6}}\\div {{\\left( \\frac{16}{13} \\right)}^{5}}$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6590' onClick='GTTabs_show(1,6590)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6590'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Ora,<br \/>\n\\[{{3}^{3}}\\div {{3}^{6}}+{{\\left( {{3}^{2}} \\right)}^{-1}}={{3}^{-3}}+{{3}^{-2}}={{\\left( \\frac{1}{3} \\right)}^{3}}+{{\\left( \\frac{1}{3} \\right)}^{2}}=\\frac{1}{27}+\\frac{1}{9}=\\frac{1}{27}+\\frac{3}{27}=\\frac{4}{27}\\]<\/li>\n<li>Ora,<br \/>\n\\[{{10}^{0}}+{{7}^{-1}}\\times {{7}^{2}}\\div {{7}^{-3}}=1+{{7}^{1}}\\div {{7}^{-3}}=1+{{7}^{4}}=1+2401=2402\\]<\/li>\n<li>Ora,<br \/>\n\\[\\begin{array}{*{35}{l}}<br \/>\n{{({{4}^{0}}-{{4}^{-1}}+{{4}^{-2}})}^{-6}}\\div {{\\left( \\frac{16}{13} \\right)}^{5}} &amp; = &amp; {{(1-\\frac{1}{4}+\\frac{1}{16})}^{-6}}\\div {{\\left( \\frac{16}{13} \\right)}^{5}}\u00a0 \\\\<br \/>\n{} &amp; = &amp; {{(\\frac{16}{16}-\\frac{4}{16}+\\frac{1}{16})}^{-6}}\\div {{\\left( \\frac{16}{13} \\right)}^{5}}\u00a0 \\\\<br \/>\n{} &amp; = &amp; {{\\left( \\frac{13}{16} \\right)}^{-6}}\\div {{\\left( \\frac{13}{16} \\right)}^{-5}}\u00a0 \\\\<br \/>\n{} &amp; = &amp; {{\\left( \\frac{13}{16} \\right)}^{-1}}\u00a0 \\\\<br \/>\n{} &amp; = &amp; \\frac{16}{13}\u00a0 \\\\<br \/>\n\\end{array}\\]<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6590' onClick='GTTabs_show(0,6590)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Determina: ${{3}^{3}}\\div {{3}^{6}}+{{\\left( {{3}^{2}} \\right)}^{-1}}$ ${{10}^{0}}+{{7}^{-1}}\\times {{7}^{2}}\\div {{7}^{-3}}$ ${{({{4}^{0}}-{{4}^{-1}}+{{4}^{-2}})}^{-6}}\\div {{\\left( \\frac{16}{13} \\right)}^{5}}$ Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":19189,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,137,97],"tags":[142],"series":[],"class_list":["post-6590","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-ainda-os-numeros","category-aplicando","tag-potencias"],"views":1730,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat75.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6590","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=6590"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6590\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6590"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6590"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6590"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6590"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}