SOLUTION: (-2x^-2)^2

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Question 196653: (-2x^-2)^2
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
%28-2x%5E%28-2%29%29%5E2 Start with the given expression.


%28%28-2%29%5E1%2Ax%5E%28-2%29%29%5E2 Rewrite -2 as %28-2%29%5E1


%28-2%29%5E%281%2A2%29%2Ax%5E%28-2%2A2%29 Multiply the outer exponent with every exponent inside the parenthesis.


%28-2%29%5E2%2Ax%5E%28-4%29 Multiply


4%2Ax%5E%28-4%29 Square -2 to get 4


4%2Fx%5E4 Flip the fraction to make the exponent positive.


So %28-2x%5E%28-2%29%29%5E2=4%2Fx%5E4 where x%3C%3E0