{"id":1723,"date":"2019-08-07T12:14:37","date_gmt":"2019-08-07T16:14:37","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1723"},"modified":"2019-08-07T12:50:30","modified_gmt":"2019-08-07T16:50:30","slug":"answer-key-9-8","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-9-8\/","title":{"raw":"Answer Key 9.8","rendered":"Answer Key 9.8"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \\((2^4x^4y^6)^{\\frac{1}{8}}\\Rightarrow 2^{\\frac{1}{2}}x^{\\frac{1}{2}}y^{\\frac{3}{4}}\\)<\/li>\r\n \t
  2. \\((3^2x^2y^6)^{\\frac{1}{4}}\\Rightarrow 3^{\\frac{1}{2}}x^{\\frac{1}{2}}y^{\\frac{3}{2}}\\)<\/li>\r\n \t
  3. \\((2^6x^4y^6z^8)^{\\frac{1}{12}}\\Rightarrow 2^{\\frac{1}{2}}x^{\\frac{1}{3}}y^{\\frac{1}{2}}z^{\\frac{2}{3}}\\)<\/li>\r\n \t
  4. \\(\\left(\\dfrac{5^2x^3}{2^4x^5}\\right)^{\\frac{1}{8}}\\Rightarrow \\left(\\dfrac{5^2}{2^4x^2}\\right)^{\\frac{1}{8}}\\Rightarrow \\dfrac{5^{\\frac{1}{4}}}{2^{\\frac{1}{2}}x^{\\frac{1}{4}}}\\)<\/li>\r\n \t
  5. \\(\\left(\\dfrac{2^4x}{3^2y^4}\\right)^{\\frac{1}{6}}\\Rightarrow \\dfrac{2^{\\frac{2}{3}}x^{\\frac{1}{6}}}{3^{\\frac{1}{3}}y^{\\frac{2}{3}}}\\)<\/li>\r\n \t
  6. \\((x^9y^{12}z^6)^{\\frac{1}{15}}\\Rightarrow x^{\\frac{3}{5}}y^{\\frac{4}{5}}z^{\\frac{2}{5}}\\)<\/li>\r\n \t
  7. \\((x^6y^9)^{\\frac{1}{12}}\\Rightarrow x^{\\frac{1}{2}}y^{\\frac{3}{4}}\\)<\/li>\r\n \t
  8. \\((2^6x^8y^4)^{\\frac{1}{10}}\\Rightarrow 2^{\\frac{3}{5}}x^{\\frac{4}{5}}y^{\\frac{2}{5}}\\)<\/li>\r\n \t
  9. \\((x^6y^4z^2)^{\\frac{1}{8}}\\Rightarrow x^{\\frac{3}{4}}y^{\\frac{1}{2}}z^{\\frac{1}{4}}\\)<\/li>\r\n \t
  10. \\((5^2y^2)^{\\frac{1}{4}}\\Rightarrow 5^{\\frac{1}{2}}y^{\\frac{1}{2}}\\)<\/li>\r\n \t
  11. \\((2^3x^3y^6)^{\\frac{1}{9}}\\Rightarrow 2^{\\frac{1}{3}}x^{\\frac{1}{3}}y^{\\frac{2}{3}}\\)<\/li>\r\n \t
  12. \\((3^4x^8y^{12})^{\\frac{1}{16}}\\Rightarrow 3^{\\frac{1}{4}}x^{\\frac{1}{2}}y^{\\frac{3}{4}}\\)<\/li>\r\n \t
  13. \\(5^{\\frac{1}{3}}\\cdot 5^{\\frac{1}{2}}\\Rightarrow 5^{\\frac{3}{6}}\\cdot 5^{\\frac{2}{6}}\\Rightarrow 5^{\\frac{5}{6}}\\)<\/li>\r\n \t
  14. \\(7^{\\frac{1}{3}}\\cdot 7^{\\frac{1}{4}}\\Rightarrow 7^{\\frac{4}{12}}\\cdot 7^{\\frac{3}{12}}\\Rightarrow 7^{\\frac{7}{12}}\\)<\/li>\r\n \t
  15. \\(x^{\\frac{1}{2}}\\cdot 7^{\\frac{1}{3}}x^{\\frac{1}{3}}\\Rightarrow 7^{\\frac{1}{3}}x^{\\frac{5}{6}}\\)<\/li>\r\n \t
  16. \\(y^{\\frac{1}{3}}\\cdot 3^{\\frac{1}{5}}y^{\\frac{1}{5}}\\Rightarrow 3^{\\frac{1}{5}}y^{\\frac{8}{15}}\\)<\/li>\r\n \t
  17. \\(x^{\\frac{1}{2}}\\cdot x^{\\frac{2}{3}}\\Rightarrow x^{\\frac{7}{6}}\\)<\/li>\r\n \t
  18. \\(3^{\\frac{1}{4}}x^{\\frac{1}{4}}x^{\\frac{4}{2}}\\Rightarrow 3^{\\frac{1}{4}}x^{\\frac{9}{4}}\\)<\/li>\r\n \t
  19. \\(x^{\\frac{2}{5}}y^{\\frac{1}{5}}x^{\\frac{2}{2}}\\Rightarrow x^{\\frac{7}{5}}y^{\\frac{1}{5}}\\)<\/li>\r\n \t
  20. \\(a^{\\frac{1}{2}}b^{\\frac{1}{2}}2^{\\frac{1}{5}}a^{\\frac{2}{5}}b^{\\frac{2}{5}}\\Rightarrow 2^{\\frac{1}{5}}a^{\\frac{9}{10}}b^{\\frac{9}{10}}\\)<\/li>\r\n \t
  21. \\(x^{\\frac{1}{4}}y^{\\frac{2}{4}}\\cdot x^{\\frac{2}{3}}y^{\\frac{1}{3}}\\Rightarrow x^{\\frac{11}{12}}y^{\\frac{5}{6}}\\)<\/li>\r\n \t
  22. \\(3^{\\frac{1}{5}}a^{\\frac{2}{5}}b^{\\frac{3}{5}}3^{\\frac{2}{4}}a^{\\frac{2}{4}}b^{\\frac{1}{4}}\\Rightarrow 3^{\\frac{7}{10}}a^{\\frac{9}{10}}b^{\\frac{17}{20}}\\)<\/li>\r\n \t
  23. \\(a^{\\frac{2}{4}}b^{\\frac{1}{4}}c^{\\frac{2}{4}}a^{\\frac{2}{5}}b^{\\frac{3}{5}}c^{\\frac{1}{5}}\\Rightarrow a^{\\frac{9}{10}}b^{\\frac{17}{20}}c^{\\frac{7}{10}}\\)<\/li>\r\n \t
  24. \\(x^{\\frac{2}{6}}y^{\\frac{1}{6}}z^{\\frac{3}{6}}x^{\\frac{2}{5}}y^{\\frac{1}{5}}z^{\\frac{2}{5}}\\Rightarrow x^{\\frac{11}{15}}y^{\\frac{11}{30}}z^{\\frac{9}{10}}\\)<\/li>\r\n<\/ol>","rendered":"
      \n
    1. \"(2^4x^4y^6)^{\frac{1}{8}}\Rightarrow 2^{\frac{1}{2}}x^{\frac{1}{2}}y^{\frac{3}{4}}\"<\/li>\n
    2. \"(3^2x^2y^6)^{\frac{1}{4}}\Rightarrow 3^{\frac{1}{2}}x^{\frac{1}{2}}y^{\frac{3}{2}}\"<\/li>\n
    3. \"(2^6x^4y^6z^8)^{\frac{1}{12}}\Rightarrow 2^{\frac{1}{2}}x^{\frac{1}{3}}y^{\frac{1}{2}}z^{\frac{2}{3}}\"<\/li>\n
    4. \"\left(\dfrac{5^2x^3}{2^4x^5}\right)^{\frac{1}{8}}\Rightarrow \left(\dfrac{5^2}{2^4x^2}\right)^{\frac{1}{8}}\Rightarrow \dfrac{5^{\frac{1}{4}}}{2^{\frac{1}{2}}x^{\frac{1}{4}}}\"<\/li>\n
    5. \"\left(\dfrac{2^4x}{3^2y^4}\right)^{\frac{1}{6}}\Rightarrow \dfrac{2^{\frac{2}{3}}x^{\frac{1}{6}}}{3^{\frac{1}{3}}y^{\frac{2}{3}}}\"<\/li>\n
    6. \"(x^9y^{12}z^6)^{\frac{1}{15}}\Rightarrow x^{\frac{3}{5}}y^{\frac{4}{5}}z^{\frac{2}{5}}\"<\/li>\n
    7. \"(x^6y^9)^{\frac{1}{12}}\Rightarrow x^{\frac{1}{2}}y^{\frac{3}{4}}\"<\/li>\n
    8. \"(2^6x^8y^4)^{\frac{1}{10}}\Rightarrow 2^{\frac{3}{5}}x^{\frac{4}{5}}y^{\frac{2}{5}}\"<\/li>\n
    9. \"(x^6y^4z^2)^{\frac{1}{8}}\Rightarrow x^{\frac{3}{4}}y^{\frac{1}{2}}z^{\frac{1}{4}}\"<\/li>\n
    10. \"(5^2y^2)^{\frac{1}{4}}\Rightarrow 5^{\frac{1}{2}}y^{\frac{1}{2}}\"<\/li>\n
    11. \"(2^3x^3y^6)^{\frac{1}{9}}\Rightarrow 2^{\frac{1}{3}}x^{\frac{1}{3}}y^{\frac{2}{3}}\"<\/li>\n
    12. \"(3^4x^8y^{12})^{\frac{1}{16}}\Rightarrow 3^{\frac{1}{4}}x^{\frac{1}{2}}y^{\frac{3}{4}}\"<\/li>\n
    13. \"5^{\frac{1}{3}}\cdot 5^{\frac{1}{2}}\Rightarrow 5^{\frac{3}{6}}\cdot 5^{\frac{2}{6}}\Rightarrow 5^{\frac{5}{6}}\"<\/li>\n
    14. \"7^{\frac{1}{3}}\cdot 7^{\frac{1}{4}}\Rightarrow 7^{\frac{4}{12}}\cdot 7^{\frac{3}{12}}\Rightarrow 7^{\frac{7}{12}}\"<\/li>\n
    15. \"x^{\frac{1}{2}}\cdot 7^{\frac{1}{3}}x^{\frac{1}{3}}\Rightarrow 7^{\frac{1}{3}}x^{\frac{5}{6}}\"<\/li>\n
    16. \"y^{\frac{1}{3}}\cdot 3^{\frac{1}{5}}y^{\frac{1}{5}}\Rightarrow 3^{\frac{1}{5}}y^{\frac{8}{15}}\"<\/li>\n
    17. \"x^{\frac{1}{2}}\cdot x^{\frac{2}{3}}\Rightarrow x^{\frac{7}{6}}\"<\/li>\n
    18. \"3^{\frac{1}{4}}x^{\frac{1}{4}}x^{\frac{4}{2}}\Rightarrow 3^{\frac{1}{4}}x^{\frac{9}{4}}\"<\/li>\n
    19. \"x^{\frac{2}{5}}y^{\frac{1}{5}}x^{\frac{2}{2}}\Rightarrow x^{\frac{7}{5}}y^{\frac{1}{5}}\"<\/li>\n
    20. \"a^{\frac{1}{2}}b^{\frac{1}{2}}2^{\frac{1}{5}}a^{\frac{2}{5}}b^{\frac{2}{5}}\Rightarrow 2^{\frac{1}{5}}a^{\frac{9}{10}}b^{\frac{9}{10}}\"<\/li>\n
    21. \"x^{\frac{1}{4}}y^{\frac{2}{4}}\cdot x^{\frac{2}{3}}y^{\frac{1}{3}}\Rightarrow x^{\frac{11}{12}}y^{\frac{5}{6}}\"<\/li>\n
    22. \"3^{\frac{1}{5}}a^{\frac{2}{5}}b^{\frac{3}{5}}3^{\frac{2}{4}}a^{\frac{2}{4}}b^{\frac{1}{4}}\Rightarrow 3^{\frac{7}{10}}a^{\frac{9}{10}}b^{\frac{17}{20}}\"<\/li>\n
    23. \"a^{\frac{2}{4}}b^{\frac{1}{4}}c^{\frac{2}{4}}a^{\frac{2}{5}}b^{\frac{3}{5}}c^{\frac{1}{5}}\Rightarrow a^{\frac{9}{10}}b^{\frac{17}{20}}c^{\frac{7}{10}}\"<\/li>\n
    24. \"x^{\frac{2}{6}}y^{\frac{1}{6}}z^{\frac{3}{6}}x^{\frac{2}{5}}y^{\frac{1}{5}}z^{\frac{2}{5}}\Rightarrow x^{\frac{11}{15}}y^{\frac{11}{30}}z^{\frac{9}{10}}\"<\/li>\n<\/ol>\n","protected":false},"author":727,"menu_order":84,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1723","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1723","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\/1723\/revisions"}],"predecessor-version":[{"id":1726,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1723\/revisions\/1726"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1723\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1723"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1723"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1723"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1723"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}