SOLUTION: How do you simplify {{{(x^(5/3)*y)/(x*y)^(-1/2)}}} ?

Algebra ->  Square-cubic-other-roots -> SOLUTION: How do you simplify {{{(x^(5/3)*y)/(x*y)^(-1/2)}}} ?      Log On


   

Question 279863: How do you simplify %28x%5E%285%2F3%29%2Ay%29%2F%28x%2Ay%29%5E%28-1%2F2%29 ?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How do you simplify %28x%5E%285%2F3%29%2Ay%29%2F%28x%2Ay%29%5E%28-1%2F2%29 ?
Multiply NUM and DEN by (xy)^(1/2)
= x%5E%285%2F3%2B1%2F2%29y%5E%281%2B1%2F2%29
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= x%5E%2813%2F6%29%2Ay%5E%283%2F2%29 = x^(13/6)*y^(3/2)
= x^2y*x^(1/6)*sqrt(y)
or x^2y*6th root(xy^3)
Simplified can be a matter of opinion