{"id":1680,"date":"2019-08-01T14:51:54","date_gmt":"2019-08-01T18:51:54","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&#038;p=1680"},"modified":"2019-08-01T14:57:56","modified_gmt":"2019-08-01T18:57:56","slug":"answer-key-9-2","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-9-2\/","title":{"raw":"Answer Key 9.2","rendered":"Answer Key 9.2"},"content":{"raw":"[latexpage]\r\n<ol>\r\n \t<li>4<\/li>\r\n \t<li>\u22125<\/li>\r\n \t<li>\\(\\sqrt[3]{5\\cdot 125}\\)\r\n\\(5\\sqrt[3]{5}\\)<\/li>\r\n \t<li>\\(\\sqrt[3]{2\\cdot 125}\\)\r\n\\(5\\sqrt[3]{2}\\)<\/li>\r\n \t<li>\\(\\sqrt[3]{3\\cdot 64}\\)\r\n\\(4\\sqrt[3]{3}\\)<\/li>\r\n \t<li>\\(\\sqrt[3]{3\\cdot 8}\\)\r\n\\(-2\\sqrt[3]{3}\\)<\/li>\r\n \t<li>\\(-4\\sqrt[4]{6\\cdot 16}\\)\r\n\\(-4\\cdot 2\\sqrt[4]{6}\\)\r\n\\(\\pm 8\\sqrt[4]{6}\\)<\/li>\r\n \t<li>\\(-8\\sqrt[4]{3\\cdot 16}\\)\r\n\\(-8\\cdot 2\\sqrt[4]{3}\\)\r\n\\(\\pm 16\\sqrt[4]{3}\\)<\/li>\r\n \t<li>\\(6\\cdot \\sqrt[4]{7\\cdot 16}\\)\r\n\\(6\\cdot 2\\sqrt[4]{7}\\)\r\n\\(\\pm 12 \\sqrt[4]{7}\\)<\/li>\r\n \t<li>\\(5\\cdot \\sqrt[4]{3\\cdot 81}\\)\r\n\\(5\\cdot 3\\sqrt[4]{3}\\)\r\n\\(\\pm 15\\sqrt[4]{3}\\)<\/li>\r\n \t<li>\\(6\\sqrt[4]{8\\cdot 81\\cdot x^4\\cdot x\\cdot y^4\\cdot y^3\\cdot z^2}\\)\r\n\\(6\\cdot 3\\cdot x\\cdot y\\sqrt[4]{8xy^3z^2}\\)\r\n\\(\\pm 18xy\\sqrt[4]{8xy^3z^2}\\)<\/li>\r\n \t<li>\\(-6\\sqrt[4]{5\\cdot 81\\cdot a^4\\cdot a\\cdot b^8\\cdot c}\\)\r\n\\(-6\\cdot 3\\cdot a\\cdot b^2\\sqrt[4]{5ac}\\)\r\n\\(\\pm 18ab^2\\sqrt[4]{5ac}\\)<\/li>\r\n \t<li>\\(\\sqrt[5]{7\\cdot 32\\cdot n^3\\cdot p^2\\cdot p^5\\cdot q^5}\\)\r\n\\(2pq \\sqrt[5]{7n^3p^2}\\)<\/li>\r\n \t<li>\\(\\sqrt[5]{3\\cdot -32\\cdot x^3\\cdot y^5\\cdot y\\cdot z^5}\\)\r\n\\(-2yz \\sqrt[5]{3x^3y}\\)<\/li>\r\n \t<li>\\(\\sqrt[5]{7\\cdot 32\\cdot p^5\\cdot q^{10}\\cdot r^{15}}\\)\r\n\\(2pq^2r^3 \\sqrt[5]{7}\\)<\/li>\r\n \t<li>\\(\\sqrt[6]{4\\cdot 64\\cdot x^6\\cdot y^6\\cdot z^6\\cdot z}\\)\r\n\\(\\pm 2xyz \\sqrt[6]{4z}\\)<\/li>\r\n \t<li>\\(-3 \\sqrt[7]{7\\cdot 128\\cdot r\\cdot s^7\\cdot t^{14}}\\)\r\n\\(-3\\cdot 2\\cdot s\\cdot t^2 \\sqrt[7]{7r}\\)\r\n\\(-6st^2\\sqrt[7]{7r}\\)<\/li>\r\n \t<li>\\(-8 \\sqrt[7]{3\\cdot 128\\cdot b^7\\cdot b\\cdot c^7\\cdot d^6}\\)\r\n\\(-8\\cdot 2\\cdot b\\cdot c \\sqrt[7]{3bd^6}\\)\r\n\\(-16bc \\sqrt[7]{3bd^6}\\)<\/li>\r\n<\/ol>","rendered":"<ol>\n<li>4<\/li>\n<li>\u22125<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-fd4e2fb921065eafb4fc0de245ca0f4d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#115;&#113;&#114;&#116;&#91;&#51;&#93;&#123;&#53;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#50;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"63\" style=\"vertical-align: -2px;\" \/><br \/>\n<img loading=\"lazy\" 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src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-1709c7dfd1202bd1d698cd4dfa4b86d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#52;&#92;&#99;&#100;&#111;&#116;&#32;&#50;&#92;&#115;&#113;&#114;&#116;&#91;&#52;&#93;&#123;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"68\" style=\"vertical-align: -2px;\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-8fddd0c262b3d6f14369e6ba2583affc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#109;&#32;&#56;&#92;&#115;&#113;&#114;&#116;&#91;&#52;&#93;&#123;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"47\" style=\"vertical-align: -2px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" 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src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-6001fc83335e81fa8883e6b05c067cbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#92;&#99;&#100;&#111;&#116;&#32;&#50;&#92;&#115;&#113;&#114;&#116;&#91;&#52;&#93;&#123;&#55;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"55\" style=\"vertical-align: -2px;\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-d31bb3939e9a93fc1fdc1b971a9b7803_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#109;&#32;&#49;&#50;&#32;&#92;&#115;&#113;&#114;&#116;&#91;&#52;&#93;&#123;&#55;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"56\" style=\"vertical-align: -2px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-18b99d15c7a96f9152195ffd3951c45f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#92;&#99;&#100;&#111;&#116;&#32;&#92;&#115;&#113;&#114;&#116;&#91;&#52;&#93;&#123;&#51;&#92;&#99;&#100;&#111;&#116;&#32;&#56;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"77\" style=\"vertical-align: -2px;\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-61260f1044d298ef862ebf9eda1dd9f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#53;&#92;&#99;&#100;&#111;&#116;&#32;&#51;&#92;&#115;&#113;&#114;&#116;&#91;&#52;&#93;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"55\" style=\"vertical-align: -2px;\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-cca9bb9388ce79a0866e8cfd25d43d3d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#109;&#32;&#49;&#53;&#92;&#115;&#113;&#114;&#116;&#91;&#52;&#93;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"56\" style=\"vertical-align: -2px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-5fddcb924f1ec9f7161d294dea12b17e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" 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style=\"vertical-align: -5px;\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-d0f55a73c1223cea9509f06a46ec861e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#109;&#32;&#49;&#56;&#120;&#121;&#92;&#115;&#113;&#114;&#116;&#91;&#52;&#93;&#123;&#56;&#120;&#121;&#94;&#51;&#122;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"123\" style=\"vertical-align: -5px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-a023239fcf4fa4bb74a29b26c2fa46dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#54;&#92;&#115;&#113;&#114;&#116;&#91;&#52;&#93;&#123;&#53;&#92;&#99;&#100;&#111;&#116;&#32;&#56;&#49;&#92;&#99;&#100;&#111;&#116;&#32;&#97;&#94;&#52;&#92;&#99;&#100;&#111;&#116;&#32;&#97;&#92;&#99;&#100;&#111;&#116;&#32;&#98;&#94;&#56;&#92;&#99;&#100;&#111;&#116;&#32;&#99;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"178\" style=\"vertical-align: -1px;\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-75e133165b757f315b7c198d17e6e64f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#45;&#54;&#92;&#99;&#100;&#111;&#116;&#32;&#51;&#92;&#99;&#100;&#111;&#116;&#32;&#97;&#92;&#99;&#100;&#111;&#116;&#32;&#98;&#94;&#50;&#92;&#115;&#113;&#114;&#116;&#91;&#52;&#93;&#123;&#53;&#97;&#99;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"135\" style=\"vertical-align: -2px;\" \/><br \/>\n<img loading=\"lazy\" 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