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Thread: Simplifying with Positive Exponents

  1. #1
    Junior Member
    Jan 2013
    new york

    Simplifying with Positive Exponents [SOLVED]

    Simplify with Positive Exponents:


    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!



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

    I didn't distributed the -2 properly.
    Last edited by michellederz; Sep 17th 2013 at 10:01 AM.
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  2. #2
    MHF Contributor

    Aug 2006

    Re: Simplifying with Positive Exponents

    Quote Originally Posted by michellederz View Post
    Simplify with Positive Exponents:
    $\displaystyle \left(2x^{-2}b^4\right)^{-2}=\left(2\right)^{-2}\left(x^{-2}\right)^{-2}\left(b^4\right)^{-2}=\left(\frac{x^4}{4b^8}\right)$
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