lizardhec lizardhec
  • 16-06-2018
  • Mathematics
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When 27x^2z/-3x^2z^6 is completely simplified , the exponent on the variable z is _____

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jdoe0001 jdoe0001
  • 16-06-2018
[tex]\bf \cfrac{27x^2z}{-3x^2z^6}\implies -\cfrac{27}{3}\cdot \cfrac{x^2z}{x^2z^6}\implies -9\cdot \cfrac{x^2x^{-2}}{z^6z^{-1}}\implies -9\cdot \cfrac{x^{2-2}}{z^{6-1}} \\\\\\ -9\cdot \cfrac{x^0}{z^5}\implies -9\cdot \cfrac{1}{z^5}\implies -\cfrac{9}{z^5}[/tex]
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