{"id":1416,"date":"2019-06-21T14:15:29","date_gmt":"2019-06-21T18:15:29","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1416"},"modified":"2019-06-21T14:45:02","modified_gmt":"2019-06-21T18:45:02","slug":"answer-key-6-1","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-6-1\/","title":{"raw":"Answer Key 6.1","rendered":"Answer Key 6.1"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \\(4^{1+4+4}=4^9\\text{ or }262,144\\)<\/li>\r\n \t
  2. \\(4^{1+4+2}=4^7\\text{ or }16,384\\)<\/li>\r\n \t
  3. \\(2\\cdot 4\\cdot m^{4+2}n^{2+1}=8m^6n^3\\)<\/li>\r\n \t
  4. \\(x^{2+1}y^{4+2}=x^3y^6\\)<\/li>\r\n \t
  5. \\(3^{3\\cdot 4}=3^{12}\\text{ or }531,441\\)<\/li>\r\n \t
  6. \\(4^{3\\cdot 4}=4^{12}\\text{ or }16,772,216\\)<\/li>\r\n \t
  7. \\(2^2u^{3\\cdot 2}v^{2\\cdot 2}=4u^6v^4\\)<\/li>\r\n \t
  8. \\(x^3y^3\\)<\/li>\r\n \t
  9. \\(4^{5-3}=4^2\\text{ or }16\\)<\/li>\r\n \t
  10. \\(3^{7-3}=3^4\\text{ or }81\\)<\/li>\r\n \t
  11. \\(3^{1-1}n^{1-1}m^2=\\cancel{3^0} \\cancel{n^0} m^2\\)<\/li>\r\n \t
  12. \\(4^{-1}x^{2-1}y^{4-1}=4^{-1}xy^3\\)<\/li>\r\n \t
  13. \\((2x^{2+3}y^{4+3})^2\\)\r\n\\((2x^5y^7)^2\\)\r\n\\(2^2x^{5\\cdot 2}y^{7\\cdot 2}\\)\r\n\\(4x^{10}y^{14}\\)<\/li>\r\n \t
  14. \\([2u^{2+4}v^2]^3\\)\r\n\\([2u^6v^2]^3\\)\r\n\\(2^3u^{6\\cdot 3}v^{2\\cdot 3} \\Rightarrow 8u^{18}v^6\\)<\/li>\r\n \t
  15. \\([2^3x^3\\div x^3]^2\\)\r\n\\([2^3x^{3-3}]^2\\)\r\n\\(2^{3\\cdot 2}\\cancel{x^0}\\)\r\n\\(2^6 \\text{ or }64\\)<\/li>\r\n \t
  16. \\(2a^{2+7}b^2\\div b^2a^{4\\cdot 2}\\)\r\n\\(2a^9b^2\\div b^2a^8\\)\r\n\\(2a^{9-8}\\cancel{b^{2-2}}\\)\r\n\\(2a\\)<\/li>\r\n \t
  17. \\([2y^{17}\\div 2^4x^{2\\cdot 4}y^{4\\cdot 4}]^3\\)\r\n\\([2y^{17}\\div 2^4x^8y^{16}]^3\\)\r\n\\([2^{1-4}y^{17-16}x^{-8}]^3\\)\r\n\\([2^{-3}yx^{-8}]^3\\)\r\n\\(2^{-9}y^3x^{-24}\\)<\/li>\r\n \t
  18. \\([xy^2\\cdot y^8]\\div 2y^4\\)\r\n\\(xy^{10}\\div 2y^4\\)\r\n\\(2^{-1}xy^{10-4}\\)\r\n\\(2^{-1}xy^6\\)<\/li>\r\n \t
  19. \\(4x^3y^8\\div 2xy^7\\)\r\n\\(2x^2y\\)<\/li>\r\n \t
  20. \\(2y^3x^2\\div x^4y^4\\)\r\n\\(2x^{-2}y^{-1}\\)<\/li>\r\n \t
  21. \\([q^3r^2\\cdot 4p^4q^4r^6]\\div 2p^3\\)\r\n\\(4p^4q^7r^8\\div 2p^3\\)\r\n\\(2pq^7r^8\\)<\/li>\r\n \t
  22. \\(4x^6y^{12}z^{10}\\div x^4y^8z^8\\)\r\n\\(4x^2y^4z^2\\)<\/li>\r\n<\/ol>","rendered":"
      \n
    1. \"4^{1+4+4}=4^9\text{ or }262,144\"<\/li>\n
    2. \"4^{1+4+2}=4^7\text{ or }16,384\"<\/li>\n
    3. \"2\cdot 4\cdot m^{4+2}n^{2+1}=8m^6n^3\"<\/li>\n
    4. \"x^{2+1}y^{4+2}=x^3y^6\"<\/li>\n
    5. \"3^{3\cdot 4}=3^{12}\text{ or }531,441\"<\/li>\n
    6. \"4^{3\cdot 4}=4^{12}\text{ or }16,772,216\"<\/li>\n
    7. \"2^2u^{3\cdot 2}v^{2\cdot 2}=4u^6v^4\"<\/li>\n
    8. \"x^3y^3\"<\/li>\n
    9. \"4^{5-3}=4^2\text{ or }16\"<\/li>\n
    10. \"3^{7-3}=3^4\text{ or }81\"<\/li>\n
    11. \"3^{1-1}n^{1-1}m^2=\cancel{3^0} \cancel{n^0} m^2\"<\/li>\n
    12. \"4^{-1}x^{2-1}y^{4-1}=4^{-1}xy^3\"<\/li>\n
    13. \"(2x^{2+3}y^{4+3})^2\"
      \n\"(2x^5y^7)^2\"
      \n\"2^2x^{5\cdot 2}y^{7\cdot 2}\"
      \n\"4x^{10}y^{14}\"<\/li>\n
    14. \"[2u^{2+4}v^2]^3\"
      \n\"[2u^6v^2]^3\"
      \n\"2^3u^{6\cdot 3}v^{2\cdot 3} \Rightarrow 8u^{18}v^6\"<\/li>\n
    15. \"[2^3x^3\div x^3]^2\"
      \n\"[2^3x^{3-3}]^2\"
      \n\"2^{3\cdot 2}\cancel{x^0}\"
      \n\"2^6 \text{ or }64\"<\/li>\n
    16. \"2a^{2+7}b^2\div b^2a^{4\cdot 2}\"
      \n\"2a^9b^2\div b^2a^8\"
      \n\"2a^{9-8}\cancel{b^{2-2}}\"
      \n\"2a\"<\/li>\n
    17. \"[2y^{17}\div 2^4x^{2\cdot 4}y^{4\cdot 4}]^3\"
      \n\"[2y^{17}\div 2^4x^8y^{16}]^3\"
      \n\"[2^{1-4}y^{17-16}x^{-8}]^3\"
      \n\"[2^{-3}yx^{-8}]^3\"
      \n\"2^{-9}y^3x^{-24}\"<\/li>\n
    18. \"[xy^2\cdot y^8]\div 2y^4\"
      \n\"xy^{10}\div 2y^4\"
      \n\"2^{-1}xy^{10-4}\"
      \n\"2^{-1}xy^6\"<\/li>\n
    19. \"4x^3y^8\div 2xy^7\"
      \n\"2x^2y\"<\/li>\n
    20. \"2y^3x^2\div x^4y^4\"
      \n\"2x^{-2}y^{-1}\"<\/li>\n
    21. \"[q^3r^2\cdot 4p^4q^4r^6]\div 2p^3\"
      \n\"4p^4q^7r^8\div 2p^3\"
      \n\"2pq^7r^8\"<\/li>\n
    22. \"4x^6y^{12}z^{10}\div x^4y^8z^8\"
      \n\"4x^2y^4z^2\"<\/li>\n<\/ol>\n","protected":false},"author":727,"menu_order":44,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1416","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1416","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":4,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1416\/revisions"}],"predecessor-version":[{"id":1422,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1416\/revisions\/1422"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1416\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1416"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1416"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1416"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1416"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}