Simplifying with Positive Exponents [SOLVED]

**Simplify with Positive Exponents:**

(2x^{-2}b^{4})^{-2}

I know the __correct__ answer is $\displaystyle \frac{x^4}{4b^8}$

but for some reason I keep getting a totally different answer. Which is:

$\displaystyle \frac{2x}{b^4}$

I am following the rules of the exponents but maybe I am making a simple mistake somewhere? Can someone explain to me how to get the correct answer? Thank you!

Edit: I figured out what I was doing wrong!

(2x^{-2}b^{4})^{-2 }-4x^{4}b^{-8}

$\displaystyle \frac{x^4}{4b^8}$

*I didn't distributed the -2 properly. *

Re: Simplifying with Positive Exponents

Quote:

Originally Posted by

**michellederz** **Simplify with Positive Exponents:**

(2x^{-2}b^{4})^{-2}

$\displaystyle \left(2x^{-2}b^4\right)^{-2}=\left(2\right)^{-2}\left(x^{-2}\right)^{-2}\left(b^4\right)^{-2}=\left(\frac{x^4}{4b^8}\right)$