{"id":1968,"date":"2021-12-02T19:40:14","date_gmt":"2021-12-03T00:40:14","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-9-8\/"},"modified":"2022-11-02T10:38:47","modified_gmt":"2022-11-02T14:38:47","slug":"answer-key-9-8","status":"publish","type":"back-matter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-9-8\/","title":{"raw":"Answer Key 9.8","rendered":"Answer Key 9.8"},"content":{"raw":"
    \n \t
  1. [latex](2^4x^4y^6)^{\\frac{1}{8}}\\Rightarrow 2^{\\frac{1}{2}}x^{\\frac{1}{2}}y^{\\frac{3}{4}}[\/latex]<\/li>\n \t
  2. [latex](3^2x^2y^6)^{\\frac{1}{4}}\\Rightarrow 3^{\\frac{1}{2}}x^{\\frac{1}{2}}y^{\\frac{3}{2}}[\/latex]<\/li>\n \t
  3. [latex](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}}[\/latex]<\/li>\n \t
  4. [latex]\\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}}}[\/latex]<\/li>\n \t
  5. [latex]\\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}}}[\/latex]<\/li>\n \t
  6. [latex](x^9y^{12}z^6)^{\\frac{1}{15}}\\Rightarrow x^{\\frac{3}{5}}y^{\\frac{4}{5}}z^{\\frac{2}{5}}[\/latex]<\/li>\n \t
  7. [latex](x^6y^9)^{\\frac{1}{12}}\\Rightarrow x^{\\frac{1}{2}}y^{\\frac{3}{4}}[\/latex]<\/li>\n \t
  8. [latex](2^6x^8y^4)^{\\frac{1}{10}}\\Rightarrow 2^{\\frac{3}{5}}x^{\\frac{4}{5}}y^{\\frac{2}{5}}[\/latex]<\/li>\n \t
  9. [latex](x^6y^4z^2)^{\\frac{1}{8}}\\Rightarrow x^{\\frac{3}{4}}y^{\\frac{1}{2}}z^{\\frac{1}{4}}[\/latex]<\/li>\n \t
  10. [latex](5^2y^2)^{\\frac{1}{4}}\\Rightarrow 5^{\\frac{1}{2}}y^{\\frac{1}{2}}[\/latex]<\/li>\n \t
  11. [latex](2^3x^3y^6)^{\\frac{1}{9}}\\Rightarrow 2^{\\frac{1}{3}}x^{\\frac{1}{3}}y^{\\frac{2}{3}}[\/latex]<\/li>\n \t
  12. [latex](3^4x^8y^{12})^{\\frac{1}{16}}\\Rightarrow 3^{\\frac{1}{4}}x^{\\frac{1}{2}}y^{\\frac{3}{4}}[\/latex]<\/li>\n \t
  13. [latex]5^{\\frac{1}{3}}\\cdot 5^{\\frac{1}{2}}\\Rightarrow 5^{\\frac{3}{6}}\\cdot 5^{\\frac{2}{6}}\\Rightarrow 5^{\\frac{5}{6}}[\/latex]<\/li>\n \t
  14. [latex]7^{\\frac{1}{3}}\\cdot 7^{\\frac{1}{4}}\\Rightarrow 7^{\\frac{4}{12}}\\cdot 7^{\\frac{3}{12}}\\Rightarrow 7^{\\frac{7}{12}}[\/latex]<\/li>\n \t
  15. [latex]x^{\\frac{1}{2}}\\cdot 7^{\\frac{1}{3}}x^{\\frac{1}{3}}\\Rightarrow 7^{\\frac{1}{3}}x^{\\frac{5}{6}}[\/latex]<\/li>\n \t
  16. [latex]y^{\\frac{1}{3}}\\cdot 3^{\\frac{1}{5}}y^{\\frac{1}{5}}\\Rightarrow 3^{\\frac{1}{5}}y^{\\frac{8}{15}}[\/latex]<\/li>\n \t
  17. [latex]x^{\\frac{1}{2}}\\cdot x^{\\frac{2}{3}}\\Rightarrow x^{\\frac{7}{6}}[\/latex]<\/li>\n \t
  18. [latex]3^{\\frac{1}{4}}x^{\\frac{1}{4}}x^{\\frac{4}{2}}\\Rightarrow 3^{\\frac{1}{4}}x^{\\frac{9}{4}}[\/latex]<\/li>\n \t
  19. [latex]x^{\\frac{2}{5}}y^{\\frac{1}{5}}x^{\\frac{2}{2}}\\Rightarrow x^{\\frac{7}{5}}y^{\\frac{1}{5}}[\/latex]<\/li>\n \t
  20. [latex]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}}[\/latex]<\/li>\n \t
  21. [latex]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}}[\/latex]<\/li>\n \t
  22. [latex]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}}[\/latex]<\/li>\n \t
  23. [latex]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}}[\/latex]<\/li>\n \t
  24. [latex]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}}[\/latex]<\/li>\n<\/ol>","rendered":"
      \n
    1. [latex](2^4x^4y^6)^{\\frac{1}{8}}\\Rightarrow 2^{\\frac{1}{2}}x^{\\frac{1}{2}}y^{\\frac{3}{4}}[\/latex]<\/li>\n
    2. [latex](3^2x^2y^6)^{\\frac{1}{4}}\\Rightarrow 3^{\\frac{1}{2}}x^{\\frac{1}{2}}y^{\\frac{3}{2}}[\/latex]<\/li>\n
    3. [latex](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}}[\/latex]<\/li>\n
    4. [latex]\\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}}}[\/latex]<\/li>\n
    5. [latex]\\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}}}[\/latex]<\/li>\n
    6. [latex](x^9y^{12}z^6)^{\\frac{1}{15}}\\Rightarrow x^{\\frac{3}{5}}y^{\\frac{4}{5}}z^{\\frac{2}{5}}[\/latex]<\/li>\n
    7. [latex](x^6y^9)^{\\frac{1}{12}}\\Rightarrow x^{\\frac{1}{2}}y^{\\frac{3}{4}}[\/latex]<\/li>\n
    8. [latex](2^6x^8y^4)^{\\frac{1}{10}}\\Rightarrow 2^{\\frac{3}{5}}x^{\\frac{4}{5}}y^{\\frac{2}{5}}[\/latex]<\/li>\n
    9. [latex](x^6y^4z^2)^{\\frac{1}{8}}\\Rightarrow x^{\\frac{3}{4}}y^{\\frac{1}{2}}z^{\\frac{1}{4}}[\/latex]<\/li>\n
    10. [latex](5^2y^2)^{\\frac{1}{4}}\\Rightarrow 5^{\\frac{1}{2}}y^{\\frac{1}{2}}[\/latex]<\/li>\n
    11. [latex](2^3x^3y^6)^{\\frac{1}{9}}\\Rightarrow 2^{\\frac{1}{3}}x^{\\frac{1}{3}}y^{\\frac{2}{3}}[\/latex]<\/li>\n
    12. [latex](3^4x^8y^{12})^{\\frac{1}{16}}\\Rightarrow 3^{\\frac{1}{4}}x^{\\frac{1}{2}}y^{\\frac{3}{4}}[\/latex]<\/li>\n
    13. [latex]5^{\\frac{1}{3}}\\cdot 5^{\\frac{1}{2}}\\Rightarrow 5^{\\frac{3}{6}}\\cdot 5^{\\frac{2}{6}}\\Rightarrow 5^{\\frac{5}{6}}[\/latex]<\/li>\n
    14. [latex]7^{\\frac{1}{3}}\\cdot 7^{\\frac{1}{4}}\\Rightarrow 7^{\\frac{4}{12}}\\cdot 7^{\\frac{3}{12}}\\Rightarrow 7^{\\frac{7}{12}}[\/latex]<\/li>\n
    15. [latex]x^{\\frac{1}{2}}\\cdot 7^{\\frac{1}{3}}x^{\\frac{1}{3}}\\Rightarrow 7^{\\frac{1}{3}}x^{\\frac{5}{6}}[\/latex]<\/li>\n
    16. [latex]y^{\\frac{1}{3}}\\cdot 3^{\\frac{1}{5}}y^{\\frac{1}{5}}\\Rightarrow 3^{\\frac{1}{5}}y^{\\frac{8}{15}}[\/latex]<\/li>\n
    17. [latex]x^{\\frac{1}{2}}\\cdot x^{\\frac{2}{3}}\\Rightarrow x^{\\frac{7}{6}}[\/latex]<\/li>\n
    18. [latex]3^{\\frac{1}{4}}x^{\\frac{1}{4}}x^{\\frac{4}{2}}\\Rightarrow 3^{\\frac{1}{4}}x^{\\frac{9}{4}}[\/latex]<\/li>\n
    19. [latex]x^{\\frac{2}{5}}y^{\\frac{1}{5}}x^{\\frac{2}{2}}\\Rightarrow x^{\\frac{7}{5}}y^{\\frac{1}{5}}[\/latex]<\/li>\n
    20. [latex]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}}[\/latex]<\/li>\n
    21. [latex]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}}[\/latex]<\/li>\n
    22. [latex]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}}[\/latex]<\/li>\n
    23. [latex]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}}[\/latex]<\/li>\n
    24. [latex]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}}[\/latex]<\/li>\n<\/ol>\n","protected":false},"author":90,"menu_order":89,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"back-matter-type":[],"contributor":[],"license":[56],"class_list":["post-1968","back-matter","type-back-matter","status-publish","hentry","license-cc-by-nc-sa"],"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1968","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":1,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1968\/revisions"}],"predecessor-version":[{"id":1969,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1968\/revisions\/1969"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1968\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1968"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter-type?post=1968"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1968"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1968"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}