{"id":1710,"date":"2019-08-06T17:56:44","date_gmt":"2019-08-06T21:56:44","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1710"},"modified":"2019-08-06T18:11:15","modified_gmt":"2019-08-06T22:11:15","slug":"answer-key-9-6","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-9-6\/","title":{"raw":"Answer Key 9.6","rendered":"Answer Key 9.6"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \\(\\sqrt[5]{m^3}\\)<\/li>\r\n \t
  2. \\(\\dfrac{1}{\\sqrt[4]{(10r)^3}}\\)<\/li>\r\n \t
  3. \\(\\sqrt{(7x)^3}\\)<\/li>\r\n \t
  4. \\(\\dfrac{1}{\\sqrt[3]{(6b)^4}}\\)<\/li>\r\n \t
  5. \\(\\dfrac{1}{\\sqrt{(2x+3)^3}}\\)<\/li>\r\n \t
  6. \\(\\sqrt[4]{(x-3y)^3}\\)<\/li>\r\n \t
  7. \\(5^{\\frac{1}{3}}\\)<\/li>\r\n \t
  8. \\(2^{\\frac{3}{5}}\\)<\/li>\r\n \t
  9. \\((ab^5)^{\\frac{1}{3}}\\) or \\(a^{\\frac{1}{3}}b^{\\frac{5}{3}}\\)<\/li>\r\n \t
  10. \\(x^{\\frac{3}{5}}\\)<\/li>\r\n \t
  11. \\((a+5)^{\\frac{2}{3}}\\)<\/li>\r\n \t
  12. \\((a-2)^{\\frac{3}{5}}\\)<\/li>\r\n \t
  13. \\(8^{\\frac{2}{3}}\\Rightarrow (2^3)^{\\frac{2}{3}}\\Rightarrow 2^2\\text{ or }4\\)<\/li>\r\n \t
  14. \\(16^{\\frac{1}{4}}\\Rightarrow (2^4)^{\\frac{1}{4}}\\Rightarrow 2\\)<\/li>\r\n \t
  15. \\(\\sqrt[3]{4^6}\\Rightarrow (2^2)^{\\frac{6}{3}}\\Rightarrow 2^4\\text{ or }16\\)<\/li>\r\n \t
  16. \\(\\sqrt[5]{32^2}\\Rightarrow (2^5)^{\\frac{2}{5}}\\Rightarrow 2^2\\text{ or }4\\)<\/li>\r\n \t
  17. \\(x^2y^{\\frac{1}{3}+\\frac{2}{3}}\\Rightarrow x^2y\\)<\/li>\r\n \t
  18. \\(4v^{\\frac{2}{3}-1}\\Rightarrow 4v^{-\\frac{1}{3}}\\text{ or }\\dfrac{4}{v^{\\frac{1}{3}}}\\)<\/li>\r\n \t
  19. \\(a^{-\\frac{1}{2}}b^{-\\frac{1}{2}}\\Rightarrow \\dfrac{1}{a^{\\frac{1}{2}}b^{\\frac{1}{2}}}}\\)<\/li>\r\n \t
  20. 1<\/li>\r\n \t
  21. \\(\\dfrac{\\cancel{a^2}\\cancel{b^0}1}{3\\cancel{a^4}a^2}\\Rightarrow \\dfrac{1}{3a^2}\\)<\/li>\r\n \t
  22. \\(\\dfrac{\\cancel{2}x^{\\frac{1}{2}}y^{\\frac{1}{3}}}{\\cancel{2}x^{\\frac{4}{3}}y^{\\frac{7}{4}}} \\Rightarrow x^{\\frac{1}{2}-\\frac{4}{3}}y^{\\frac{1}{3}-\\frac{7}{4}}\\Rightarrow x^{-\\frac{5}{6}}y^{-\\frac{17}{12}}\\Rightarrow \\dfrac{1}{x^{\\frac{5}{6}}y^{\\frac{17}{12}}}\\)<\/li>\r\n \t
  23. \\(\\dfrac{a^{\\frac{3}{4}}\\cancel{b^{-1}}b^{\\frac{7}{4}}}{3\\cancel{b^{-1}}}\\Rightarrow \\dfrac{a^{\\frac{3}{4}}b^{\\frac{7}{4}}}{3}\\)<\/li>\r\n \t
  24. \\(2x^{-2+\\frac{5}{4}-1}y^{\\frac{5}{3}+\\frac{5}{3}-\\frac{1}{2}} \\Rightarrow 2x^{-\\frac{7}{4}}y^{\\frac{17}{6}}\\Rightarrow \\dfrac{2y^{\\frac{17}{6}}}{x^{\\frac{7}{4}}}\\)<\/li>\r\n \t
  25. \\(\\dfrac{3}{2}y^{-\\frac{5}{4}- -1 - -\\frac{1}{3}} \\Rightarrow \\dfrac{3}{2}y^{\\frac{1}{12}}\\)<\/li>\r\n \t
  26. \\(\\dfrac{ab^{\\frac{1}{3}}\\cancel{2}b^{-\\frac{5}{4}}}{\\cancel{4}2a^{-\\frac{1}{2}}b^{-\\frac{2}{3}}} \\Rightarrow \\dfrac{1}{2}a^{1- -\\frac{1}{2}}b^{\\frac{1}{3}-\\frac{5}{4}- -\\frac{2}{3}} \\Rightarrow \\dfrac{1}{2}a^{\\frac{3}{2}}b^{-\\frac{1}{4}}\\Rightarrow \\dfrac{a^{\\frac{3}{2}}}{2b^{\\frac{1}{4}}}\\)<\/li>\r\n<\/ol>","rendered":"
      \n
    1. \"\sqrt[5]{m^3}\"<\/li>\n
    2. \"\dfrac{1}{\sqrt[4]{(10r)^3}}\"<\/li>\n
    3. \"\sqrt{(7x)^3}\"<\/li>\n
    4. \"\dfrac{1}{\sqrt[3]{(6b)^4}}\"<\/li>\n
    5. \"\dfrac{1}{\sqrt{(2x+3)^3}}\"<\/li>\n
    6. \"\sqrt[4]{(x-3y)^3}\"<\/li>\n
    7. \"5^{\frac{1}{3}}\"<\/li>\n
    8. \"2^{\frac{3}{5}}\"<\/li>\n
    9. \"(ab^5)^{\frac{1}{3}}\" or \"a^{\frac{1}{3}}b^{\frac{5}{3}}\"<\/li>\n
    10. \"x^{\frac{3}{5}}\"<\/li>\n
    11. \"(a+5)^{\frac{2}{3}}\"<\/li>\n
    12. \"(a-2)^{\frac{3}{5}}\"<\/li>\n
    13. \"8^{\frac{2}{3}}\Rightarrow (2^3)^{\frac{2}{3}}\Rightarrow 2^2\text{ or }4\"<\/li>\n
    14. \"16^{\frac{1}{4}}\Rightarrow (2^4)^{\frac{1}{4}}\Rightarrow 2\"<\/li>\n
    15. \"\sqrt[3]{4^6}\Rightarrow (2^2)^{\frac{6}{3}}\Rightarrow 2^4\text{ or }16\"<\/li>\n
    16. \"\sqrt[5]{32^2}\Rightarrow (2^5)^{\frac{2}{5}}\Rightarrow 2^2\text{ or }4\"<\/li>\n
    17. \"x^2y^{\frac{1}{3}+\frac{2}{3}}\Rightarrow x^2y\"<\/li>\n
    18. \"4v^{\frac{2}{3}-1}\Rightarrow 4v^{-\frac{1}{3}}\text{ or }\dfrac{4}{v^{\frac{1}{3}}}\"<\/li>\n
    19. \"a^{-\frac{1}{2}}b^{-\frac{1}{2}}\Rightarrow \dfrac{1}{a^{\frac{1}{2}}b^{\frac{1}{2}}}}\"<\/li>\n
    20. 1<\/li>\n
    21. \"\dfrac{\cancel{a^2}\cancel{b^0}1}{3\cancel{a^4}a^2}\Rightarrow \dfrac{1}{3a^2}\"<\/li>\n
    22. \"\dfrac{\cancel{2}x^{\frac{1}{2}}y^{\frac{1}{3}}}{\cancel{2}x^{\frac{4}{3}}y^{\frac{7}{4}}} \Rightarrow x^{\frac{1}{2}-\frac{4}{3}}y^{\frac{1}{3}-\frac{7}{4}}\Rightarrow x^{-\frac{5}{6}}y^{-\frac{17}{12}}\Rightarrow \dfrac{1}{x^{\frac{5}{6}}y^{\frac{17}{12}}}\"<\/li>\n
    23. \"\dfrac{a^{\frac{3}{4}}\cancel{b^{-1}}b^{\frac{7}{4}}}{3\cancel{b^{-1}}}\Rightarrow \dfrac{a^{\frac{3}{4}}b^{\frac{7}{4}}}{3}\"<\/li>\n
    24. \"2x^{-2+\frac{5}{4}-1}y^{\frac{5}{3}+\frac{5}{3}-\frac{1}{2}} \Rightarrow 2x^{-\frac{7}{4}}y^{\frac{17}{6}}\Rightarrow \dfrac{2y^{\frac{17}{6}}}{x^{\frac{7}{4}}}\"<\/li>\n
    25. \"\dfrac{3}{2}y^{-\frac{5}{4}- -1 - -\frac{1}{3}} \Rightarrow \dfrac{3}{2}y^{\frac{1}{12}}\"<\/li>\n
    26. \"\dfrac{ab^{\frac{1}{3}}\cancel{2}b^{-\frac{5}{4}}}{\cancel{4}2a^{-\frac{1}{2}}b^{-\frac{2}{3}}} \Rightarrow \dfrac{1}{2}a^{1- -\frac{1}{2}}b^{\frac{1}{3}-\frac{5}{4}- -\frac{2}{3}} \Rightarrow \dfrac{1}{2}a^{\frac{3}{2}}b^{-\frac{1}{4}}\Rightarrow \dfrac{a^{\frac{3}{2}}}{2b^{\frac{1}{4}}}\"<\/li>\n<\/ol>\n","protected":false},"author":727,"menu_order":82,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1710","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1710","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/users\/727"}],"version-history":[{"count":3,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1710\/revisions"}],"predecessor-version":[{"id":1713,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1710\/revisions\/1713"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1710\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1710"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1710"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1710"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1710"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}