SOLUTION: what is the simflified answer and the step on how to do the problem (x^5/3 *x^-9/2)^-12/17

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Question 390097: what is the simflified answer and the step on how to do the problem (x^5/3 *x^-9/2)^-12/17
Found 2 solutions by dnanos, MathTherapy:
Answer by dnanos(83) About Me  (Show Source):
You can put this solution on YOUR website!
(x^5/3 *x^-9/2)^-12/17=[x^(5/3-9/2)]^-12/17=[x^(10/6-27/6)]^-12/17=[x^(-17/6)]^-12/17=x^[(-17/6)*(-12/17)]=x^[(17*12)/(6*17)]=x^(12/6)=x^2

Answer by MathTherapy(10898) About Me  (Show Source):
You can put this solution on YOUR website!
what is the simflified answer and the step on how to do the problem (x^5/3 *x^-9/2)^-12/17
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%28x%5E%285%2F3%29x%5E%28-+9%2F2%29%29%5E%28-+12%2F17%29
%28x%5E%28%285%2F3+%2B+-+9%2F2%29%29%29%5E%28-+12%2F17%29
%28x%5E%28%285%2F3+-+9%2F2%29%29%29%5E%28-+12%2F17%29
%28x%5E%28%28%2810+-+27%29%2F6%29%29%29%5E%28-+12%2F17%29
%28x%5E%28-+17%2F6%29%29%5E%28-+12%2F17%29
matrix%282%2C1%2C+%22+%22%2C+x%5E%28%28-+17%2F6%29%28-+12%2F17%29%29%29 = matrix%282%2C1%2C+%22+%22%2C+x%5E%28%2817%2F6%29%2812%2F17%29%29%29 =  =  = x%5E%28%281%2A2%29%29 = highlight_green%28x%5E2%29