SOLUTION: step by step simplification of [(16x^(-4/3)y^(2/3)]^(3/2)

SOLUTION: step by step simplification of [(16x^(-4/3)y^(2/3)]^(3/2)

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Question 564612: step by step simplification of [(16x^(-4/3)y^(2/3)]^(3/2)
Answer by ad_alta(240) (Show Source): You can put this solution on YOUR website!
[16x^{-4/3}y^{2/3}]^{3/2}=16^{3/2}x^{(-4/3)(3/2)}y^{(2/3)(3/2)}=64x^{-2}|y|
[Note: the 'y' in the final answer is actually |y| (absolute value) since the squaring operation precludes negative y values in the final answer]
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