SOLUTION: Not even sure how to begin this one: ((6x^4/2xy^3))^3

Algebra ->  Exponents -> SOLUTION: Not even sure how to begin this one: ((6x^4/2xy^3))^3      Log On


   

Question 86221: Not even sure how to begin this one:
((6x^4/2xy^3))^3
Answer by sofiyacherni(99) About Me  (Show Source):
You can put this solution on YOUR website!
%28%286x%5E4%2F2xy%5E3%29%29%5E3
ok first you want to reduce fraction as much as you can, so 6%2F2=3 that leaves you with
%28%283x%5E4%2Fxy%5E3%29%29%5E3 now do the same with x term since you have x on top and x on bottom so you are left with
%28%283x%5E3%2Fy%5E3%29%29%5E3 now you take everything to the third power
so 3%5E3=27, %28x%5E3%29%5E3=x%5E9 and %28y%5E3%29%5E3=x%5E9 so the answer is
%2827x%5E9%29%2Fy%5E9