SOLUTION: Please show me how to solve: (x/y)^3 / (x/2y)^3 (x/y) is a fraction and (x/2y) is a fraction Thank you!!!!!!!!!!!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please show me how to solve: (x/y)^3 / (x/2y)^3 (x/y) is a fraction and (x/2y) is a fraction Thank you!!!!!!!!!!!      Log On


   

Question 6138: Please show me how to solve: (x/y)^3 / (x/2y)^3
(x/y) is a fraction and (x/2y) is a fraction
Thank you!!!!!!!!!!!
Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
first clear your parentheses, by raising everything to the power indicated:
%28x%2Fy%29%5E3+%2F+%28x%2F2y%29%5E3
%28x%5E3%2Fy%5E3%29%2F%28x%5E3%2F8y%5E3%29
with complex fractions, you just flip the bottom turn and multiply:
%28x%5E3%2Fy%5E3%29%2A%288y%5E3%2Fx%5E3%29
8x%5E3y%5E3%2Fx%5E3y%5E3
the x^3 and y^3 terms reduce to 1, so the answer is 8