SOLUTION: Raise the quantity in parenthesis to the indicated exponent and simplify the resulting expression. Express with positive exponents {35x^-2y^2/140x^-3y^-5}^-4

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Raise the quantity in parenthesis to the indicated exponent and simplify the resulting expression. Express with positive exponents {35x^-2y^2/140x^-3y^-5}^-4      Log On


   

Question 662613: Raise the quantity in parenthesis to the indicated exponent and simplify the resulting expression. Express with positive exponents
{35x^-2y^2/140x^-3y^-5}^-4
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If you mean:
%28%2835x%5E-2y%5E2%29%2F%28140x%5E-3y%5E-5%29%29%5E-4
Cancel the 35's
= %28%28x%5E-2%2Ay%5E2%29%2F%284x%5E-3%2Ay%5E-5%29%29%5E-4
Multiply NUM and DEN by x^3
= %28%28xy%5E2%29%2F%284y%5E-5%29%29%5E-4
Multiply NUM and DEN by y^5
= %28%28xy%5E7%29%2F%284%29%29%5E-4
Invert and change sign
= %284%2F%28xy%5E7%29%29%5E4
= 256%2F%28x%5E4y%5E28%29