SOLUTION: ((8x^(3/2)/y^3))^4/3

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Question 161663: ((8x^(3/2)/y^3))^4/3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%288x%5E%283%2F2%29%29%2F%28y%5E3%29%29%5E%284%2F3%29 Start with the given expression


%28%282%5E3x%5E%283%2F2%29%29%2F%28y%5E3%29%29%5E%284%2F3%29 Rewrite 8 as 2%5E3


%282%5E3x%5E%283%2F2%29%29%5E%284%2F3%29%2F%28y%5E3%29%5E%284%2F3%29 Rewrite the fraction



Distribute the outer exponent to each of the inner exponents.


%282%5E4x%5E%2812%2F6%29%29%2F%28y%5E%2812%2F3%29%29 Multiply


%2816x%5E2%29%2F%28y%5E4%29 Reduce



So %28%288x%5E%283%2F2%29%29%2F%28y%5E3%29%29%5E%284%2F3%29 simplifies to %2816x%5E2%29%2F%28y%5E4%29