tjb19861124
tjb19861124 tjb19861124
  • 16-02-2018
  • Mathematics
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(8x^9y^3)^-2 (6x^7y^7) simplify. write the answer using positive exponents only

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Jr04
Jr04 Jr04
  • 18-02-2018
(8x^9y^3)^-2 (6x^7y^7) simplify. write the answer using positive exponents only

[tex](8x^9y^3)^{-2} (6x^7y^7)= \\ \\ \\ (8)^{-2} (x^9) ^{-2}( y^3)^{-2} (6)(x^7)(y^7)= \\ \\ \\ (8)^{-2} (x) ^{9-2}( y)^{3-2} (6)(x^7)(y^7)= \\ \\ \\ (8)^{-2} (x) ^{9-2+7}( y)^{3-2+7} (6)= \\ \\ \\ 6*(8)^{-2} (x) ^{14}( y)^{8} = \\ \\ \\ \dfrac{6}{64} x ^{14} y^{8} = \boxed{\dfrac{3}{32}\ x ^{14} y^{8} } [/tex]
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