SOLUTION: simplify the expression and show check of answer. assume that x and y represent nonnegative real numbers ^3 sqrt (-81y^15/27x^6)

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Question 1051586: simplify the expression and show check of answer. assume that x and y represent nonnegative real numbers
^3 sqrt (-81y^15/27x^6)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

^3 sqrt(-5x) multiplied by ^3 sqrt (125x^2)

a%5E0+=+1
x%5Em%2Fx%5En=x%5E%28m-n%29
%28+x%5Em+%29%28+x%5En+%29+=+x%5E%28+m+%2B+n+%29
%28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29
%28xy%29%5En+=+x%5En%2Ay%5En
root%28a%2Cp%29%2Aroot%28a%2Cq%29+=+root%28a%2Cp%2Aq%29 ***********
root++%28n%2C+%28x%2Fy%29%29+=+root%28n%2Cx%29%2Froot%28n%2Cy%29
x^(1/n) = root%28n%2Cx%29 , x^(m/n) = root%28n%2Cx%5Em%29