use rules of exponents to slove (-2x^-2)^2

Generally

You are given an equation - to solve for something.

In this case you don't have an equation (no 'equal to' sign).

May be you were asked to 'simplify'?

Did you post the complete problem?
 
Re: use rules of exponents to slove

Hello, evan399!

\(\displaystyle \left(-2x^{-2}\right)^2\)

is the answer: \(\displaystyle \L\:\frac{2}{x^4}\;\) . . . no

We have: \(\displaystyle \:\left(-2x^{-2}\right)^2 \;=\;(-2)^2\left(x^^{-2}\right)^2 \;=\;4x^{-4} \;=\;\L\frac{4}{x^4}\)

 
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