{"id":1956,"date":"2021-12-02T19:40:10","date_gmt":"2021-12-03T00:40:10","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-9-2\/"},"modified":"2024-05-31T15:00:33","modified_gmt":"2024-05-31T19:00:33","slug":"answer-key-9-2","status":"publish","type":"back-matter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-9-2\/","title":{"raw":"Answer Key 9.2","rendered":"Answer Key 9.2"},"content":{"raw":"
    \r\n \t
  1. 4<\/li>\r\n \t
  2. \u22125<\/li>\r\n \t
  3. [latex]\\sqrt[3]{5\\cdot 125}[\/latex]\r\n[latex]5\\sqrt[3]{5}[\/latex]<\/li>\r\n \t
  4. [latex]\\sqrt[3]{2\\cdot 125}[\/latex]\r\n[latex]5\\sqrt[3]{2}[\/latex]<\/li>\r\n \t
  5. [latex]\\sqrt[3]{3\\cdot 64}[\/latex]\r\n[latex]4\\sqrt[3]{3}[\/latex]<\/li>\r\n \t
  6. [latex]\\sqrt[3]{3\\cdot 8}[\/latex]\r\n[latex]-2\\sqrt[3]{3}[\/latex]<\/li>\r\n \t
  7. [latex]-4\\sqrt[4]{6\\cdot 16}[\/latex]\r\n[latex]-4\\cdot 2\\sqrt[4]{6}[\/latex]\r\n[latex]-8\\sqrt[4]{6}[\/latex]<\/li>\r\n \t
  8. [latex]-8\\sqrt[4]{3\\cdot 16}[\/latex]\r\n[latex]-8\\cdot 2\\sqrt[4]{3}[\/latex]\r\n[latex]-16\\sqrt[4]{3}[\/latex]<\/li>\r\n \t
  9. [latex]6\\cdot \\sqrt[4]{7\\cdot 16}[\/latex]\r\n[latex]6\\cdot 2\\sqrt[4]{7}[\/latex]\r\n[latex]12 \\sqrt[4]{7}[\/latex]<\/li>\r\n \t
  10. [latex]5\\cdot \\sqrt[4]{3\\cdot 81}[\/latex]\r\n[latex]5\\cdot 3\\sqrt[4]{3}[\/latex]\r\n[latex]15\\sqrt[4]{3}[\/latex]<\/li>\r\n \t
  11. [latex]6\\sqrt[4]{8\\cdot 81\\cdot x^4\\cdot x\\cdot y^4\\cdot y^3\\cdot z^2}[\/latex]\r\n[latex]6\\cdot 3\\cdot x\\cdot y\\sqrt[4]{8xy^3z^2}[\/latex]\r\n[latex]18xy\\sqrt[4]{8xy^3z^2}[\/latex]<\/li>\r\n \t
  12. [latex]-6\\sqrt[4]{5\\cdot 81\\cdot a^4\\cdot a\\cdot b^8\\cdot c}[\/latex]\r\n[latex]-6\\cdot 3\\cdot a\\cdot b^2\\sqrt[4]{5ac}[\/latex]\r\n[latex]-18ab^2\\sqrt[4]{5ac}[\/latex]<\/li>\r\n \t
  13. [latex]\\sqrt[5]{7\\cdot 32\\cdot n^3\\cdot p^2\\cdot p^5\\cdot q^5}[\/latex]\r\n[latex]2pq \\sqrt[5]{7n^3p^2}[\/latex]<\/li>\r\n \t
  14. [latex]\\sqrt[5]{3\\cdot -32\\cdot x^3\\cdot y^5\\cdot y\\cdot z^5}[\/latex]\r\n[latex]-2yz \\sqrt[5]{3x^3y}[\/latex]<\/li>\r\n \t
  15. [latex]\\sqrt[5]{7\\cdot 32\\cdot p^5\\cdot q^{10}\\cdot r^{15}}[\/latex]\r\n[latex]2pq^2r^3 \\sqrt[5]{7}[\/latex]<\/li>\r\n \t
  16. [latex]\\sqrt[6]{4\\cdot 64\\cdot x^6\\cdot y^6\\cdot z^6\\cdot z}[\/latex]\r\n[latex]2xyz \\sqrt[6]{4z}[\/latex]<\/li>\r\n \t
  17. [latex]-3 \\sqrt[7]{7\\cdot 128\\cdot r\\cdot s^7\\cdot t^{14}}[\/latex]\r\n[latex]-3\\cdot 2\\cdot s\\cdot t^2 \\sqrt[7]{7r}[\/latex]\r\n[latex]-6st^2\\sqrt[7]{7r}[\/latex]<\/li>\r\n \t
  18. [latex]-8 \\sqrt[7]{3\\cdot 128\\cdot b^7\\cdot b\\cdot c^7\\cdot d^6}[\/latex]\r\n[latex]-8\\cdot 2\\cdot b\\cdot c \\sqrt[7]{3bd^6}[\/latex]\r\n[latex]-16bc \\sqrt[7]{3bd^6}[\/latex]<\/li>\r\n<\/ol>","rendered":"
      \n
    1. 4<\/li>\n
    2. \u22125<\/li>\n
    3. [latex]\\sqrt[3]{5\\cdot 125}[\/latex]
      \n[latex]5\\sqrt[3]{5}[\/latex]<\/li>\n
    4. [latex]\\sqrt[3]{2\\cdot 125}[\/latex]
      \n[latex]5\\sqrt[3]{2}[\/latex]<\/li>\n
    5. [latex]\\sqrt[3]{3\\cdot 64}[\/latex]
      \n[latex]4\\sqrt[3]{3}[\/latex]<\/li>\n
    6. [latex]\\sqrt[3]{3\\cdot 8}[\/latex]
      \n[latex]-2\\sqrt[3]{3}[\/latex]<\/li>\n
    7. [latex]-4\\sqrt[4]{6\\cdot 16}[\/latex]
      \n[latex]-4\\cdot 2\\sqrt[4]{6}[\/latex]
      \n[latex]-8\\sqrt[4]{6}[\/latex]<\/li>\n
    8. [latex]-8\\sqrt[4]{3\\cdot 16}[\/latex]
      \n[latex]-8\\cdot 2\\sqrt[4]{3}[\/latex]
      \n[latex]-16\\sqrt[4]{3}[\/latex]<\/li>\n
    9. [latex]6\\cdot \\sqrt[4]{7\\cdot 16}[\/latex]
      \n[latex]6\\cdot 2\\sqrt[4]{7}[\/latex]
      \n[latex]12 \\sqrt[4]{7}[\/latex]<\/li>\n
    10. [latex]5\\cdot \\sqrt[4]{3\\cdot 81}[\/latex]
      \n[latex]5\\cdot 3\\sqrt[4]{3}[\/latex]
      \n[latex]15\\sqrt[4]{3}[\/latex]<\/li>\n
    11. [latex]6\\sqrt[4]{8\\cdot 81\\cdot x^4\\cdot x\\cdot y^4\\cdot y^3\\cdot z^2}[\/latex]
      \n[latex]6\\cdot 3\\cdot x\\cdot y\\sqrt[4]{8xy^3z^2}[\/latex]
      \n[latex]18xy\\sqrt[4]{8xy^3z^2}[\/latex]<\/li>\n
    12. [latex]-6\\sqrt[4]{5\\cdot 81\\cdot a^4\\cdot a\\cdot b^8\\cdot c}[\/latex]
      \n[latex]-6\\cdot 3\\cdot a\\cdot b^2\\sqrt[4]{5ac}[\/latex]
      \n[latex]-18ab^2\\sqrt[4]{5ac}[\/latex]<\/li>\n
    13. [latex]\\sqrt[5]{7\\cdot 32\\cdot n^3\\cdot p^2\\cdot p^5\\cdot q^5}[\/latex]
      \n[latex]2pq \\sqrt[5]{7n^3p^2}[\/latex]<\/li>\n
    14. [latex]\\sqrt[5]{3\\cdot -32\\cdot x^3\\cdot y^5\\cdot y\\cdot z^5}[\/latex]
      \n[latex]-2yz \\sqrt[5]{3x^3y}[\/latex]<\/li>\n
    15. [latex]\\sqrt[5]{7\\cdot 32\\cdot p^5\\cdot q^{10}\\cdot r^{15}}[\/latex]
      \n[latex]2pq^2r^3 \\sqrt[5]{7}[\/latex]<\/li>\n
    16. [latex]\\sqrt[6]{4\\cdot 64\\cdot x^6\\cdot y^6\\cdot z^6\\cdot z}[\/latex]
      \n[latex]2xyz \\sqrt[6]{4z}[\/latex]<\/li>\n
    17. [latex]-3 \\sqrt[7]{7\\cdot 128\\cdot r\\cdot s^7\\cdot t^{14}}[\/latex]
      \n[latex]-3\\cdot 2\\cdot s\\cdot t^2 \\sqrt[7]{7r}[\/latex]
      \n[latex]-6st^2\\sqrt[7]{7r}[\/latex]<\/li>\n
    18. [latex]-8 \\sqrt[7]{3\\cdot 128\\cdot b^7\\cdot b\\cdot c^7\\cdot d^6}[\/latex]
      \n[latex]-8\\cdot 2\\cdot b\\cdot c \\sqrt[7]{3bd^6}[\/latex]
      \n[latex]-16bc \\sqrt[7]{3bd^6}[\/latex]<\/li>\n<\/ol>\n","protected":false},"author":90,"menu_order":83,"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-1956","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\/1956","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":5,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1956\/revisions"}],"predecessor-version":[{"id":2268,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1956\/revisions\/2268"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1956\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1956"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter-type?post=1956"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1956"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1956"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}