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Math Help - Simplifying exponents

  1. #1
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    Simplifying exponents

    How would one simplify the following expression?

    (x^(-2))/(x^(-2)-x^(-3))

    It has the negative exponents, and I'm not sure how I would flip/simplify it as there are 2 terms in the denominator being added.
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by DemonX01 View Post
    How would one simplify the following expression?

    (x^(-2))/(x^(-2)-x^(-3))

    It has the negative exponents, and I'm not sure how I would flip/simplify it as there are 2 terms in the denominator being added.
    Multiply both denominator and numerator by x^{3}
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  3. #3
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    Quote Originally Posted by DemonX01 View Post
    How would one simplify the following expression?

    (x^(-2))/(x^(-2)-x^(-3))

    It has the negative exponents, and I'm not sure how I would flip/simplify it as there are 2 terms in the denominator being added.
    \frac{x^{-2}}{(x^{-2}-x^{-3})} = \frac{1}{x^{2}(x^{-2}-x^{-3})}

    Now expand through the denominator.
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