SOLUTION: I am about to give up. Please, help me to solve this one. Rewrite as a radical:(5xy^2)^3/4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am about to give up. Please, help me to solve this one. Rewrite as a radical:(5xy^2)^3/4      Log On


   

Question 525175: I am about to give up. Please, help me to solve this one.
Rewrite as a radical:(5xy^2)^3/4
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
(5xy^2)^3/4
We can say this,"the 4th root of (5xy^2)^3, which is
:
4sqrt%28%285xy%29%5E3%29 = 4sqrt%285%5E3%2Ax%5E3%2Ay%5E6%29%29 = 4sqrt%28125x%5E3%2Ay%5E6%29%29
factor
4sqrt%28125x%5E3%2Ay%5E4%2Ay%5E2%29%29
extract the 4th root
y%2A4sqrt%28125x%5E3%2Ay%5E2%29%29
:
We can say, "y times the 4th root of 125x^3*y^2"