bethortuno59
bethortuno59 bethortuno59
  • 19-01-2020
  • Mathematics
contestada

Which expression is equivalent to (x^6 y^8) ^3 over x^2 y^2 ?


options:
A. x^7 y^9
B. x^9 y^12
C. x^12 y^18
D. x^16 y^22

Respuesta :

jtulayan
jtulayan jtulayan
  • 19-01-2020
The answer would be D. because when the power of 3 is distributed to the x^6 and y^8, the simplified version would be x^18 y^24 because exponents are multiplied when outside of the parentheses. When that is put over x^2 y^2, you have to subtract the exponents to their matching variables. x^18 - x^2 = x^16 and y^24 - y^2 = y^22. So the final answer would be x^16 y^22.
Answer Link
willybanks30
willybanks30 willybanks30
  • 19-01-2020
The answer is D. x^16 y^22. Hope this helped!
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