SOLUTION: simplify (-x^1/2y^1/3)^3(x^-9 y^3)^1/6

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Question 611054: simplify (-x^1/2y^1/3)^3(x^-9 y^3)^1/6
Answer by radh(108) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify.
%28x%5E%28-9%29y%5E%283%29%28-%28xy%29%2F%286%29%29%5E%283%29%29%2F%286%29
Remove the negative exponent in the numerator.
%28y%5E%283%29%28-%28xy%29%2F%286%29%29%5E%283%29%29%2F%286%28x%5E%289%29%29%29
Simplify.
%28y%5E%283%29%28-%28xy%29%2F%286%29%29%5E%283%29%29%2F%286x%5E%289%29%29
Multiply by itself 3x.

Simplify.
%28y%5E%283%29%28-%28x%5E%283%29y%5E%283%29%29%2F%28216%29%29%29%2F%286x%5E%289%29%29
Multiply the factor by the rest of the expression to remove the fraction from the denominator.
%28y%5E%283%29%29%2F%286x%5E%289%29%29%2A%28-x%5E%283%29y%5E%283%29%29%2F%28216%29
Cancel the common factor.
%28y%5E%283%29%29%2F%286x%5E%286%29%29%2A%28-y%5E%283%29%29%2F%28216%29
Multiply.
-%28y%5E%286%29%29%2F%281296x%5E%286%29%29
:)