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Math Help - quotient problem

  1. #1
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    quotient problem

    express as a quotient with no negative exponents: (-x^2/y)^3 multiplied by (x^-1/2y^2)^2
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  2. #2
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    \left(\frac{-x^2}{y}\right)^3 \times \left(\frac{x^{-1}}{2y^2}\right)^2

    Remember the property of negative exponents:

    x^{-a} = \frac{1}{x^a}

    \implies \left(\frac{-x^2}{y}\right)^3 \times \left(\frac{1}{2y^2 \cdot x^{1}}\right)^2
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  3. #3
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    Quote Originally Posted by cruxkitty View Post
    express as a quotient with no negative exponents: (-x^2/y)^3 multiplied by (x^-1/2y^2)^2
    In case you mean:

    (-x^(2) / y)^3 * (x^(-1/2) y^2)^2

    \left(\frac{-x^2}{y}\right)^3 \cdot \left(\frac{x^{-\frac12}}{y^2} \right)^2 = \frac{x^{-6} \cdot x^{-1}}{y^3 \cdot y^4} = \frac1{x^7 \cdot y^7} = \left(\frac1{xy} \right)^7

    Please be so kind and make excessive use of brackets to avoid those ambiguities.
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