# Simplifying with Positive Exponents

• September 17th 2013, 10:48 AM
michellederz
Simplifying with Positive Exponents [SOLVED]
Simplify with Positive Exponents:

(2x-2b4)-2

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

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

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

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-2b4)-2

-4x4b-8

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

I didn't distributed the -2 properly.
• September 17th 2013, 11:03 AM
Plato
Re: Simplifying with Positive Exponents
Quote:

Originally Posted by michellederz
Simplify with Positive Exponents:
(2x-2b4)-2

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