{"id":1863,"date":"2021-12-02T19:39:46","date_gmt":"2021-12-03T00:39:46","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-6-1\/"},"modified":"2023-09-01T12:56:25","modified_gmt":"2023-09-01T16:56:25","slug":"answer-key-6-1","status":"publish","type":"back-matter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/back-matter\/answer-key-6-1\/","title":{"raw":"Answer Key 6.1","rendered":"Answer Key 6.1"},"content":{"raw":"
    \r\n \t
  1. [latex]4^{1+4+4}=4^9\\text{ or }262,144[\/latex]<\/li>\r\n \t
  2. [latex]4^{1+4+2}=4^7\\text{ or }16,384[\/latex]<\/li>\r\n \t
  3. [latex]2\\cdot 4\\cdot m^{4+2}n^{2+1}=8m^6n^3[\/latex]<\/li>\r\n \t
  4. [latex]x^{2+1}y^{4+2}=x^3y^6[\/latex]<\/li>\r\n \t
  5. [latex]3^{3\\cdot 4}=3^{12}\\text{ or }531,441[\/latex]<\/li>\r\n \t
  6. [latex]4^{3\\cdot 4}=4^{12}\\text{ or }16,772,216[\/latex]<\/li>\r\n \t
  7. [latex]2^2u^{3\\cdot 2}v^{2\\cdot 2}=4u^6v^4[\/latex]<\/li>\r\n \t
  8. [latex]x^3y^3[\/latex]<\/li>\r\n \t
  9. [latex]4^{5-3}=4^2\\text{ or }16[\/latex]<\/li>\r\n \t
  10. [latex]3^{7-3}=3^4\\text{ or }81[\/latex]<\/li>\r\n \t
  11. [latex]3^{1-1}n^{1-1}m^2=\\cancel{3^0} \\cancel{n^0} m^2[\/latex]<\/li>\r\n \t
  12. [latex]4^{-1}x^{2-1}y^{4-1}=4^{-1}xy^3[\/latex]<\/li>\r\n \t
  13. [latex](2x^{2+3}y^{4+3})^2[\/latex]\r\n[latex](2x^5y^7)^2[\/latex]\r\n[latex]2^2x^{5\\cdot 2}y^{7\\cdot 2}[\/latex]\r\n[latex]4x^{10}y^{14}[\/latex]<\/li>\r\n \t
  14. [latex][2u^{2+4}v^2]^3[\/latex]\r\n[latex][2u^6v^2]^3[\/latex]\r\n[latex]2^3u^{6\\cdot 3}v^{2\\cdot 3} \\Rightarrow 8u^{18}v^6[\/latex]<\/li>\r\n \t
  15. [latex][2^3x^3\\div x^3]^2[\/latex]\r\n[latex][2^3x^{3-3}]^2[\/latex]\r\n[latex]2^{3\\cdot 2}\\cancel{x^0}[\/latex]\r\n[latex]2^6 \\text{ or }64[\/latex]<\/li>\r\n \t
  16. [latex]2a^{2+7}b^2\\div b^2a^{4\\cdot 2}[\/latex]\r\n[latex]2a^9b^2\\div b^2a^8[\/latex]\r\n[latex]2a^{9-8}\\cancel{b^{2-2}}[\/latex]\r\n[latex]2a[\/latex]<\/li>\r\n \t
  17. [latex][2y^{17}\\div 2^4x^{2\\cdot 4}y^{4\\cdot 4}]^3[\/latex]\r\n[latex][2y^{17}\\div 2^4x^8y^{16}]^3[\/latex]\r\n[latex][2^{1-4}y^{17-16}x^{-8}]^3[\/latex]\r\n[latex][2^{-3}yx^{-8}]^3[\/latex]\r\n[latex]2^{-9}y^3x^{-24}[\/latex]<\/li>\r\n \t
  18. [latex][xy^2\\cdot y^8]\\div 2y^4[\/latex]\r\n[latex]xy^{10}\\div 2y^4[\/latex]\r\n[latex]2^{-1}xy^{10-4}[\/latex]\r\n[latex]2^{-1}xy^6[\/latex]<\/li>\r\n \t
  19. [latex]4x^3y^8\\div 2xy^7[\/latex]\r\n[latex]2x^2y[\/latex]<\/li>\r\n \t
  20. [latex]2y^3x^2\\div x^4y^4[\/latex]\r\n[latex]2x^{-2}y^{-1}[\/latex]<\/li>\r\n \t
  21. [latex][q^3r^2\\cdot 4p^4q^4r^6]\\div 2p^3[\/latex]\r\n[latex]4p^4q^7r^8\\div 2p^3[\/latex]\r\n[latex]2pq^7r^8[\/latex]<\/li>\r\n \t
  22. [latex]4x^6y^{12}z^{10}\\div x^4y^8z^8[\/latex]\r\n[latex]4x^2y^4z^2[\/latex]<\/li>\r\n<\/ol>","rendered":"
      \n
    1. [latex]4^{1+4+4}=4^9\\text{ or }262,144[\/latex]<\/li>\n
    2. [latex]4^{1+4+2}=4^7\\text{ or }16,384[\/latex]<\/li>\n
    3. [latex]2\\cdot 4\\cdot m^{4+2}n^{2+1}=8m^6n^3[\/latex]<\/li>\n
    4. [latex]x^{2+1}y^{4+2}=x^3y^6[\/latex]<\/li>\n
    5. [latex]3^{3\\cdot 4}=3^{12}\\text{ or }531,441[\/latex]<\/li>\n
    6. [latex]4^{3\\cdot 4}=4^{12}\\text{ or }16,772,216[\/latex]<\/li>\n
    7. [latex]2^2u^{3\\cdot 2}v^{2\\cdot 2}=4u^6v^4[\/latex]<\/li>\n
    8. [latex]x^3y^3[\/latex]<\/li>\n
    9. [latex]4^{5-3}=4^2\\text{ or }16[\/latex]<\/li>\n
    10. [latex]3^{7-3}=3^4\\text{ or }81[\/latex]<\/li>\n
    11. [latex]3^{1-1}n^{1-1}m^2=\\cancel{3^0} \\cancel{n^0} m^2[\/latex]<\/li>\n
    12. [latex]4^{-1}x^{2-1}y^{4-1}=4^{-1}xy^3[\/latex]<\/li>\n
    13. [latex](2x^{2+3}y^{4+3})^2[\/latex]
      \n[latex](2x^5y^7)^2[\/latex]
      \n[latex]2^2x^{5\\cdot 2}y^{7\\cdot 2}[\/latex]
      \n[latex]4x^{10}y^{14}[\/latex]<\/li>\n
    14. [latex][2u^{2+4}v^2]^3[\/latex]
      \n[latex][2u^6v^2]^3[\/latex]
      \n[latex]2^3u^{6\\cdot 3}v^{2\\cdot 3} \\Rightarrow 8u^{18}v^6[\/latex]<\/li>\n
    15. [latex][2^3x^3\\div x^3]^2[\/latex]
      \n[latex][2^3x^{3-3}]^2[\/latex]
      \n[latex]2^{3\\cdot 2}\\cancel{x^0}[\/latex]
      \n[latex]2^6 \\text{ or }64[\/latex]<\/li>\n
    16. [latex]2a^{2+7}b^2\\div b^2a^{4\\cdot 2}[\/latex]
      \n[latex]2a^9b^2\\div b^2a^8[\/latex]
      \n[latex]2a^{9-8}\\cancel{b^{2-2}}[\/latex]
      \n[latex]2a[\/latex]<\/li>\n
    17. [latex][2y^{17}\\div 2^4x^{2\\cdot 4}y^{4\\cdot 4}]^3[\/latex]
      \n[latex][2y^{17}\\div 2^4x^8y^{16}]^3[\/latex]
      \n[latex][2^{1-4}y^{17-16}x^{-8}]^3[\/latex]
      \n[latex][2^{-3}yx^{-8}]^3[\/latex]
      \n[latex]2^{-9}y^3x^{-24}[\/latex]<\/li>\n
    18. [latex][xy^2\\cdot y^8]\\div 2y^4[\/latex]
      \n[latex]xy^{10}\\div 2y^4[\/latex]
      \n[latex]2^{-1}xy^{10-4}[\/latex]
      \n[latex]2^{-1}xy^6[\/latex]<\/li>\n
    19. [latex]4x^3y^8\\div 2xy^7[\/latex]
      \n[latex]2x^2y[\/latex]<\/li>\n
    20. [latex]2y^3x^2\\div x^4y^4[\/latex]
      \n[latex]2x^{-2}y^{-1}[\/latex]<\/li>\n
    21. [latex][q^3r^2\\cdot 4p^4q^4r^6]\\div 2p^3[\/latex]
      \n[latex]4p^4q^7r^8\\div 2p^3[\/latex]
      \n[latex]2pq^7r^8[\/latex]<\/li>\n
    22. [latex]4x^6y^{12}z^{10}\\div x^4y^8z^8[\/latex]
      \n[latex]4x^2y^4z^2[\/latex]<\/li>\n<\/ol>\n","protected":false},"author":90,"menu_order":49,"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-1863","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\/1863","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":2,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1863\/revisions"}],"predecessor-version":[{"id":2205,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1863\/revisions\/2205"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter\/1863\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1863"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/back-matter-type?post=1863"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1863"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1863"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}