SOLUTION: I am needing help with this problem please. Rewrite with positive exponents. Assume that even roots are of non negative quatities and that all denominators are nonzero. Show all

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Question 409513: I am needing help with this problem please.
Rewrite with positive exponents. Assume that even roots are of non negative quatities and that all denominators are nonzero. Show all work.
(2x^2y^-1)^-6
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E2%2Ay%5E%28-1%29%29%5E%28-6%29
Start at inside and work your way out
rule:
a%5E%28-b%29+=+1%2F%28a%5Eb%29
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%282x%5E2+%2F+y%29%5E%28-6%29
Following the rule, 2x%5E2%2Fy would be a, and -6 would be b
%281%2F%282x%5E2%2Fy%29%29%5E6
Now you use the rule for finding the reciprocal of a fraction:
1+%2F+%28a%2Fb%29+=+b%2Fa
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%28y%2F2x%5E2%29%5E6 answer