SOLUTION: Simplify the expression using the rules of exponents. Write the answer with positive exponents only. (2x^-2y^7 over 4x^4y^-5)^-3

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Simplify the expression using the rules of exponents. Write the answer with positive exponents only. (2x^-2y^7 over 4x^4y^-5)^-3      Log On


   

Question 634274: Simplify the expression using the rules of exponents. Write the answer with positive exponents only.
(2x^-2y^7 over 4x^4y^-5)^-3
Found 2 solutions by lynnlo, Alan3354:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
what is suppose to be after each ^ that you did

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(2x^-2y^7 over 4x^4y^-5)^-3
=========================
%28%282x%5E-2y%5E7%29%2F%284x%5E4y%5E-5%29%29%5E-3
Multiply NUM and DEN by x^2
= %28%282y%5E7%29%2F%284x%5E6y%5E-5%29%29%5E-3
Multiply NUM and DEN by y^5
= %28%282y%5E12%29%2F%284x%5E6%29%29%5E-3
Cancel 2
= %28%28y%5E12%29%2F%282x%5E6%29%29%5E-3
Invert
= %282x%5E6%2Fy%5E12%29%5E3
Expand
= 8x%5E18%2Fy%5E36