SOLUTION: simplify: x^5/2(x^4/3) / x^-1/6

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Question 550295: simplify: x^5/2(x^4/3) / x^-1/6
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E5%2F%282%28x%5E%284%2F3%29%29%29=x%5E%285-%284%2F3%29%29x^5/(2(x^(4/3)))=x^(5-(4/3))
x%5E%28%2815%2F3%29-%284%2F3%29%29x^((15/3)-(4/3))
x%5E%2811%2F3%29x^(11/3)
x%5E%2811%2F3%29%2Fx%5E%28-1%2F6%29=x%5E%28%2811%2F3%29-%28-1%2F6%29%29x^(11/3)/x^(-1/6)=x^((11/3)-(-1/6))
x%5E%28%2811%2F3%29%2B%281%2F6%29%29x^((11/3)+(1/6))
x%5E%28%2822%2F6%29%2B%281%2F6%29%29x^((22/6)+(1/6))
highlight%28x%5E%2823%2F6%29%29 x^(23/6)