SOLUTION: Algebra is getting the best of me! could someone please help me with this problem? Short Answer: Raise the quantity in parentheses to the indicated exponent, and simplify the re

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Algebra is getting the best of me! could someone please help me with this problem? Short Answer: Raise the quantity in parentheses to the indicated exponent, and simplify the re      Log On


   

Question 375913: Algebra is getting the best of me! could someone please help me with this problem?
Short Answer: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression.
(-37x^-1y^-2 / 74y^3 )^-2
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%28-37x%5E-1y%5E-2+%2F+74y%5E3+%29%5E-2
Divide NUM and Den by 37
= %28-x%5E-1y%5E-2+%2F+2y%5E3+%29%5E-2
Multiply NUM and DEN by x
= %28-y%5E-2+%2F+2xy%5E3+%29%5E-2
Multiply NUM and DEN by y^2
= %28-1%2F+2xy%5E5+%29%5E-2
Invert and change the sign of the exponent
= %28-2xy%5E5%29%5E2
= 4x%5E2y%5E10