{"id":1425,"date":"2019-06-21T16:57:29","date_gmt":"2019-06-21T20:57:29","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1425"},"modified":"2019-06-21T17:38:29","modified_gmt":"2019-06-21T21:38:29","slug":"answer-key-6-2","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-6-2\/","title":{"raw":"Answer Key 6.2","rendered":"Answer Key 6.2"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \\(2x^4y^{-2}\\cdot 2^4x^4y^{12}\\)\r\n\\(2^5x^8y^{10}\\Rightarrow 32x^8y^{10}\\)<\/li>\r\n \t
  2. \\(2a^{-2}b^{-3}\\cdot 2^4b^{16}\\)\r\n\\(32a^{-2}b^{13}\\Rightarrow \\dfrac{32b^{13}}{a^2}\\)<\/li>\r\n \t
  3. \\(2^4x^8y^8\\cdot x^{-4}\\)\r\n\\(2^4x^4y^8\\Rightarrow 16x^4y^8\\)<\/li>\r\n \t
  4. 1<\/li>\r\n \t
  5. \\(2x^{-3--3}y^{2-3}3^{-2}\\)\r\n\\(2\\cancel{x^0}y^{-1}3^{-2}\\Rightarrow \\dfrac{2}{9y}\\)<\/li>\r\n \t
  6. \\(3y^3\\div [6x^7y^{-2}]\\)\r\n\\(3x^{-7}y^{3--2}\\div 6\\)\r\n\\(3x^{-7}y^5\\div 6 \\Rightarrow \\dfrac{y^5}{2x^7}\\)<\/li>\r\n \t
  7. \\(2y\\div y^8\\)\r\n\\(2y^{1-8}\\)\r\n\\(2y^{-7}\\Rightarrow \\dfrac{2}{y^7}\\)<\/li>\r\n \t
  8. \\(a^{16}\\div 2b\\Rightarrow \\dfrac{a^{16}}{2b}\\)<\/li>\r\n \t
  9. \\(2^4a^8b^{12}\\div a^{-1}\\)\r\n\\(16a^{8+1}b^{12}\\)\r\n\\(16a^9b^{12}\\)<\/li>\r\n \t
  10. \\(2^{-2}y^{8}\\div x^2\\Rightarrow \\dfrac{y&8}{2^2x^2}\\Rightarrow \\dfrac{y^8}{4x^2}\\)<\/li>\r\n \t
  11. \\(2^4m^4n^{4--2}\\)\r\n\\(16m^4n^6\\)<\/li>\r\n \t
  12. \\(2x^{-3}\\div x^{-4}y^3\\)\r\n\\(2x^{-3--4}y^{-3}\\Rightarrow 2xy^{-3} \\Rightarrow \\dfrac{2x}{y^3}\\)<\/li>\r\n \t
  13. \\([2u^{-2}v^3\\cdot 2^{-1}u^{-1}v^{-4}]\\div 2u^{-4}\\)\r\n\\([u^{-3}v^{-1}]\\div 2u^{-4}\\)\r\n\\(2^{-1}u^{-3--4}v^{-1}\\)\r\n\\(2^{-1}uv^{-1}\\Rightarrow \\dfrac{u}{2v}\\)<\/li>\r\n \t
  14. \\(2y \\div 2^{-1}y^{-4}\\)\r\n\\(2y\\cdot 2y^4 \\Rightarrow 4y^5\\)<\/li>\r\n \t
  15. \\(b^{-1}\\div 2a^{-3}b^2\\)\r\n\\(b^{-1}\\cdot 2^{-1}a^3b^{-2}\\Rightarrow \\dfrac{a^3}{2b^3}\\)<\/li>\r\n \t
  16. \\(2x^2yz \\div [2x^4y^4z^{-2}z^4y^8]\\)\r\n\\(2x^2yz \\div [2x^4y^{12}z^2]\\)\r\n\\(2x^2yz \\cdot z^{-1}x^{-4}y^{-12}z^{-2}\\)\r\n\\(x^{-2}y^{-11}z^{-1}\\Rightarrow \\dfrac{1}{x^2y^{11}z}\\)<\/li>\r\n \t
  17. \\(2a^{-3}b^2c^2b^6\\div a^9b^{-6}c^9\\)\r\n\\(2a^{-3}b^8c^2\\cdot a^{-9}b^6c^{-9}\\)\r\n\\(2a^{-12}b^{14}c^{-7}\\Rightarrow \\dfrac{2b^{14}}{a^{12}c^7}\\)<\/li>\r\n \t
  18. \\(2m^2p^2q^5 \\div [2^3m^3\\cdot 4^3p^6]\\)\r\n\\(2m^2p^2q^5 \\div [2^3m^3\\cdot 2^6p^6]\\)\r\n\\(2m^2p^2q^5 \\div 2^9m^3p^6\\)\r\n\\(2m^2p^2q^5\\cdot 2^{-9}m^{-3}p^{-6}\\)\r\n\\(2^{-8}m^{-1}p^{-4}q^5\\Rightarrow \\dfrac{q^5}{2^8mp^4}\\Rightarrow \\dfrac{q^5}{256mp^4}\\)<\/li>\r\n \t
  19. \\(y^{-1}x^4z^{-2}\\div x^2y^3z^2\\)\r\n\\(y^{-1}x^4z^{-2}\\cdot x^{-2}y^{-3}z^{-2}\\)\r\n\\(x^2y^{-4}z^{-4}\\Rightarrow \\dfrac{x^2}{y^4z^4}\\)<\/li>\r\n \t
  20. \\(2mpn^{-3}\\div 2n^2n^{-12}p^6\\)\r\n\\(2mpn^{-3}\\div 2n^{-10}p^6\\)\r\n\\(2mpn^{-3}\\cdot 2^{-1}n^{10}p^{-6}\\)\r\n\\(mp^{-5}n^7\\Rightarrow \\dfrac{mn^7}{p^5}\\)<\/li>\r\n<\/ol>","rendered":"
      \n
    1. \"2x^4y^{-2}\cdot 2^4x^4y^{12}\"
      \n\"2^5x^8y^{10}\Rightarrow 32x^8y^{10}\"<\/li>\n
    2. \"2a^{-2}b^{-3}\cdot 2^4b^{16}\"
      \n\"32a^{-2}b^{13}\Rightarrow \dfrac{32b^{13}}{a^2}\"<\/li>\n
    3. \"2^4x^8y^8\cdot x^{-4}\"
      \n\"2^4x^4y^8\Rightarrow 16x^4y^8\"<\/li>\n
    4. 1<\/li>\n
    5. \"2x^{-3--3}y^{2-3}3^{-2}\"
      \n\"2\cancel{x^0}y^{-1}3^{-2}\Rightarrow \dfrac{2}{9y}\"<\/li>\n
    6. \"3y^3\div [6x^7y^{-2}]\"
      \n\"3x^{-7}y^{3--2}\div 6\"
      \n\"3x^{-7}y^5\div 6 \Rightarrow \dfrac{y^5}{2x^7}\"<\/li>\n
    7. \"2y\div y^8\"
      \n\"2y^{1-8}\"
      \n\"2y^{-7}\Rightarrow \dfrac{2}{y^7}\"<\/li>\n
    8. \"a^{16}\div 2b\Rightarrow \dfrac{a^{16}}{2b}\"<\/li>\n
    9. \"2^4a^8b^{12}\div a^{-1}\"
      \n\"16a^{8+1}b^{12}\"
      \n\"16a^9b^{12}\"<\/li>\n
    10. \"2^{-2}y^{8}\div x^2\Rightarrow \dfrac{y&8}{2^2x^2}\Rightarrow \dfrac{y^8}{4x^2}\"<\/li>\n
    11. \"2^4m^4n^{4--2}\"
      \n\"16m^4n^6\"<\/li>\n
    12. \"2x^{-3}\div x^{-4}y^3\"
      \n\"2x^{-3--4}y^{-3}\Rightarrow 2xy^{-3} \Rightarrow \dfrac{2x}{y^3}\"<\/li>\n
    13. \"[2u^{-2}v^3\cdot 2^{-1}u^{-1}v^{-4}]\div 2u^{-4}\"
      \n\"[u^{-3}v^{-1}]\div 2u^{-4}\"
      \n\"2^{-1}u^{-3--4}v^{-1}\"
      \n\"2^{-1}uv^{-1}\Rightarrow \dfrac{u}{2v}\"<\/li>\n
    14. \"2y \div 2^{-1}y^{-4}\"
      \n\"2y\cdot 2y^4 \Rightarrow 4y^5\"<\/li>\n
    15. \"b^{-1}\div 2a^{-3}b^2\"
      \n\"b^{-1}\cdot 2^{-1}a^3b^{-2}\Rightarrow \dfrac{a^3}{2b^3}\"<\/li>\n
    16. \"2x^2yz \div [2x^4y^4z^{-2}z^4y^8]\"
      \n\"2x^2yz \div [2x^4y^{12}z^2]\"
      \n\"2x^2yz \cdot z^{-1}x^{-4}y^{-12}z^{-2}\"
      \n\"x^{-2}y^{-11}z^{-1}\Rightarrow \dfrac{1}{x^2y^{11}z}\"<\/li>\n
    17. \"2a^{-3}b^2c^2b^6\div a^9b^{-6}c^9\"
      \n\"2a^{-3}b^8c^2\cdot a^{-9}b^6c^{-9}\"
      \n\"2a^{-12}b^{14}c^{-7}\Rightarrow \dfrac{2b^{14}}{a^{12}c^7}\"<\/li>\n
    18. \"2m^2p^2q^5 \div [2^3m^3\cdot 4^3p^6]\"
      \n\"2m^2p^2q^5 \div [2^3m^3\cdot 2^6p^6]\"
      \n\"2m^2p^2q^5 \div 2^9m^3p^6\"
      \n\"2m^2p^2q^5\cdot 2^{-9}m^{-3}p^{-6}\"
      \n\"2^{-8}m^{-1}p^{-4}q^5\Rightarrow \dfrac{q^5}{2^8mp^4}\Rightarrow \dfrac{q^5}{256mp^4}\"<\/li>\n
    19. \"y^{-1}x^4z^{-2}\div x^2y^3z^2\"
      \n\"y^{-1}x^4z^{-2}\cdot x^{-2}y^{-3}z^{-2}\"
      \n\"x^2y^{-4}z^{-4}\Rightarrow \dfrac{x^2}{y^4z^4}\"<\/li>\n
    20. \"2mpn^{-3}\div 2n^2n^{-12}p^6\"
      \n\"2mpn^{-3}\div 2n^{-10}p^6\"
      \n\"2mpn^{-3}\cdot 2^{-1}n^{10}p^{-6}\"
      \n\"mp^{-5}n^7\Rightarrow \dfrac{mn^7}{p^5}\"<\/li>\n<\/ol>\n","protected":false},"author":727,"menu_order":45,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1425","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1425","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\/1425\/revisions"}],"predecessor-version":[{"id":1429,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1425\/revisions\/1429"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1425\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1425"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1425"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1425"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1425"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}