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Math Help - Simplifing

  1. #1
    ADY
    ADY is offline
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    Simplifing

    How do i simplify with out the calc on these examples?

    81^{3/4}

    ln 9 - 4ln3

    \frac{200}{\sqrt5}

    \sqrt{432}

    Thank you
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  2. #2
    MHF Contributor red_dog's Avatar
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    81^{\frac{3}{4}}=(3^4)^{\frac{3}{4}}=3^{4\cdot\fra  c{3}{4}}=3^3=27

    \ln 9-4\ln 3=\ln 3^2-4\ln 3=2\ln 3-4\ln 3=-2\ln 3

    \frac{200}{\sqrt{5}}=\frac{200\sqrt{5}}{5}=40\sqrt  {5}

    \sqrt{432}=\sqrt{2^43^3}=4\cdot3\sqrt{3}=12\sqrt{3  }

    Edited. You're right songoku
    Last edited by red_dog; July 28th 2009 at 08:59 AM.
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  3. #3
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    Quote Originally Posted by red_dog View Post
    \sqrt{432}=\sqrt{2^43^3}=16\cdot3\sqrt{3}=48\sqrt{  3}
    A little correction : 16 should be 4 ^^
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