SOLUTION: (16x^2y)^3/4 please help me solve this problem, I'm very confused !

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Question 482576: (16x^2y)^3/4
please help me solve this problem, I'm very confused !

Answer by mathstutor494(120) About Me  (Show Source):
You can put this solution on YOUR website!
(16x^2y)^3/4
={(16x^2)^3/4 * (y))^3/4 }
= {((2)^4))^3/4} {(x^2)^3/4} {(y))^3/4}
= {((2)^(4*3/4)} {(x^(2*3/4)} {(y))^3/4}
= {(2)^3)} {(x^(3/2)} {(y))^3/4}
= 8 x^3/2 y^3/4