SOLUTION: I have a problem, (5xy^-3)^-2(2x^3y^-2)^3. I came up with 2x^7/5, but I know that is not right. Help is appreciated!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have a problem, (5xy^-3)^-2(2x^3y^-2)^3. I came up with 2x^7/5, but I know that is not right. Help is appreciated!       Log On


   

Question 323260: I have a problem, (5xy^-3)^-2(2x^3y^-2)^3. I came up with 2x^7/5, but I know that is not right. Help is appreciated!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%285xy%5E-3%29%5E-2%282x%5E3y%5E-2%29%5E3
I came up with 2x^7/5
%285xy%5E-3%29%5E-2%282x%5E3y%5E-2%29%5E3
= %282x%5E3y%5E-2%29%5E3%2F%285xy%5E-3%29%5E2
= %288x%5E9y%5E-6%29%2F%2825x%5E2y%5E-6%29
= %288x%5E9%29%2F%2825x%5E2%29
= %288x%5E7%29%2F%2825%29