SOLUTION: Short Answer: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents. (-23x^4y^0/92x^-2y^-3)^

Algebra ->  Test -> SOLUTION: Short Answer: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents. (-23x^4y^0/92x^-2y^-3)^      Log On


   

Question 468941: Short Answer: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents.
(-23x^4y^0/92x^-2y^-3)^-3
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%28-23x%5E4y%5E0%2F92x%5E-2y%5E-3%29%5E-3
92 = 4*23
y^0 = 1
= %28-x%5E4%2F4x%5E-2y%5E-3%29%5E-3
Multiply NUM and Den by x^2
= %28-x%5E6%2F4y%5E-3%29%5E-3
Multiply NUM and Den by y^3
= %28-x%5E6%2Ay%5E3%2F4%29%5E-3
Invert to change exponent from -3 to +3
= %28-4%2Fx%5E6%2Ay%5E3%29%5E3
= -64%2Fx%5E18%2Ay%5E9

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(-23x^4y^0/92x^-2y^-3)^-3
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= [(-1/4)x^6y^3]^-3
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Invert:
= [-(x^6y^3)/4]^3
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= [(-x^18*y^9)/64]
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Cheers,
Stan H.