SOLUTION: Please help me solve the following problem: Rewrite the expression using positive exponents. {{{((-2)^0)(3x^-2(y^-2))^-1}}}

Algebra ->  Expressions-with-variables -> SOLUTION: Please help me solve the following problem: Rewrite the expression using positive exponents. {{{((-2)^0)(3x^-2(y^-2))^-1}}}      Log On


   

Question 153368: Please help me solve the following problem:
Rewrite the expression using positive exponents. %28%28-2%29%5E0%29%283x%5E-2%28y%5E-2%29%29%5E-1
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite, using positive exponents:
%28%28-2%29%5E0%29%2A%283x%5E%28-2%29%28y%5E%28-2%29%29%29%5E%28-1%29
First, anything to the zero power is equal to 1 x%5E0+=+1, so %28-2%29%5E0+=+1, so now you have:
1%2A%283x%5E%28-2%29%2A%28y%5E%28-2%29%29%29%5E%28-1%29 You can remove the inner parentheses as they are not needed.
%283x%5E%28-2%29%2Ay%5E%28-2%29%29%5E%28-1%29 To raise an exponent to a power, you multiply the exponents. %28-1%29%2A%28-2%29+=+2
3x%5E2%2Ay%5E2%29