How To Simplify Negative Exponents With Variables

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HomeAcademics & The Arts ArticlesMath ArticlesAlgebra ArticlesHow to Simplify Negative Exponents with VariablesByNo items found.Updated2016-03-26 21:47:20From the bookNo items found.Share
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Distributing with negative exponents means that you'll have fractional answers. A base that has a negative exponent can be changed to a fraction. The base and the exponent become the denominator, but the exponent loses its negative sign in the process. You then cap it all off with a 1 in the numerator.

image0.png

The following steps show how a negative exponent can lead to a fraction.

  1. Distribute

    image1.png

    Here's what you'll get.

    image2.png

  2. Add the exponents.

    image3.png

  3. The factor of b with the 0 exponent becomes 1.

    image4.png

  4. Change terms with negative exponents to fractions.

    image5.png

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