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Math Help - Exponents

  1. #1
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    Exponents

    If k n x and y are positive numbers satisfying:

    x ^-4\3 = k ^-2 and y ^4\3 = n^2 what is (xy)^-2/3 in terms of n and k?
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  2. #2
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    Quote Originally Posted by Alan306090 View Post
    If k n x and y are positive numbers satisfying:

    x ^-4\3 = k ^-2 and y ^4\3 = n^2 what is (xy)^-2/3 in terms of n and k?
    x^{-\frac{4}{3}} = k^{-2}

    \left(x^{-\frac{2}{3}}\right)^2 = k^{-2}

    x^{-\frac{2}{3}} = k^{-1}.



    y^{\frac{4}{3}} = n^2

    y^{-\frac{4}{3}} = n^{-2}

    Now use a similar process to find y^{-\frac{2}{3}}.



    Then remember that (xy)^{-\frac{2}{3}} = x^{-\frac{2}{3}}y^{-\frac{2}{3}}.
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