SOLUTION: please help 2(4x y^2)^-1 (-2x^-1 y)^2 the answer is 2/x^3 I used a^-b=1/a^b for one side 2(4xy^2)^-1 1/4xy^2= 2(1/4xy^2)= 2/4xy^2

Algebra ->  Exponents -> SOLUTION: please help 2(4x y^2)^-1 (-2x^-1 y)^2 the answer is 2/x^3 I used a^-b=1/a^b for one side 2(4xy^2)^-1 1/4xy^2= 2(1/4xy^2)= 2/4xy^2       Log On


   

Question 772367: please help
2(4x y^2)^-1 (-2x^-1 y)^2 the answer is 2/x^3
I used a^-b=1/a^b for one side
2(4xy^2)^-1
1/4xy^2= 2(1/4xy^2)= 2/4xy^2
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39613) About Me  (Show Source):
Answer by MathTherapy(10549) About Me  (Show Source):
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please help
2(4x y^2)^-1 (-2x^-1 y)^2 the answer is 2/x^3
I used a^-b=1/a^b for one side
2(4xy^2)^-1
1/4xy^2= 2(1/4xy^2)= 2/4xy^2

2%284xy%5E2%29%5E-1%28-+2x%5E-+1y%29%5E2

2%281%2F%284xy%5E2%29%29%28-+2+%2A+%281%2Fx%29+%2A+y%29%5E2

2%281%2F%284xy%5E2%29%29%28%28-+2y%29%2Fx%29%5E2

2%281%2F%284xy%5E2%29%29%284y%5E2%2Fx%5E2%29



%282%2Fx%29+%2A+%281%2Fx%5E2%29 -------- highlight_green%282%2Fx%5E3%29

You can do the check!!

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