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How to Simplify Negative Exponents with Variables

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2016-03-26 21:47:20
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Algebra II All-in-One For Dummies
Cover of Algebra II for Dummies book with wooden wave design and author Mary Jane Sterling.
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Algebra II All-in-One For Dummies
Cover of Algebra II for Dummies book with wooden wave design and author Mary Jane Sterling.Explore Book
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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.

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

  1. Distribute

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    Here's what you'll get.

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  2. Add the exponents.

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

    image4.png
  4. Change terms with negative exponents to fractions.

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