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Math Help - Solve and Simplify

  1. #1
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    Solve and Simplify

    (\frac{x^{-\frac{2}{3}}y^\frac{3}{4}}{x^\frac{1}{2}})^{-4} =

    First i would change it too: \frac{1}{(\frac{x^{-\frac{2}{3}}y^\frac{3}{4}}{x^\frac{1}{2}})^{4}} =

    Is that correct? I need some more guidance.

    Thanks.
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  2. #2
    MHF Contributor
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    its a sensible first step, i'd simplify the x's inside the bracket next

    \frac{x^{\frac{-2}{3}}}{x^{0.5}} = x^{\frac{-2}{3}-0.5} = x^{\frac{-7}{6}}
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  3. #3
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    Quote Originally Posted by SpringFan25 View Post
    its a sensible first step, i'd simplify the x's inside the bracket next

    \frac{x^{\frac{-2}{3}}}{x^{0.5}} = x^{\frac{-2}{3}-0.5} = x^{\frac{-7}{6}}
    Oh okay thanks. so <br />
\frac{1}{(\frac{y^{\frac{3}{4}}}{x^{\frac{-7}{6}}})^4}<br />

    Whats next?

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  4. #4
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    Quote Originally Posted by hydride View Post
    (\frac{x^{-\frac{2}{3}}y^\frac{3}{4}}{x^\frac{1}{2}})^{-4} =

    First i would change it too: \frac{1}{(\frac{x^{-\frac{2}{3}}y^\frac{3}{4}}{x^\frac{1}{2}})^{4}} =

    Is that correct? I need some more guidance.

    Thanks.
    in

    Hi hydride,
    multiply exponents and simplify


    each term of the numerator and denominator must be raised to -4.answer will be of in termof x to a power andy to a power
    example (x^2)^1/2=x 2x1/2=1 thats 2 times 1/2=1

    bjh
    Last edited by bjhopper; May 23rd 2010 at 05:10 PM. Reason: left out number but it did not show up
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