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Math Help - Rearranging Hep please

  1. #1
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    Jun 2009
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    Rearranging Hep please

    I'm consistently getting confused on how to rearrange equations. For example, the following from an exercise that I'm attempting:

     x^\frac{1}{3} (10x^{2} - x^{-2})

    simplifies to...

    10x^\frac{7}{3} - x ^{-\frac{5}{3}}

    Would appreciate a step by step on this one please and if anyone can point me towards a general tutorial on this type of thing, I's be most grateful.
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  2. #2
    MHF Contributor
    Joined
    Nov 2008
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    France
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    Quote Originally Posted by fathead05 View Post
    I'm consistently getting confused on how to rearrange equations. For example, the following from an exercise that I'm attempting:

     x^\frac{1}{3} (10x^{2} - x^{-2})

    simplifies to...

    10x^\frac{7}{3} - x ^{-\frac{5}{3}}

    Would appreciate a step by step on this one please and if anyone can point me towards a general tutorial on this type of thing, I's be most grateful.
    Hi

     x^\frac{1}{3} (10x^{2} - x^{-2})

    Expand :  10\:x^\frac{1}{3} x^{2} - x^\frac{1}{3} \:x^{-2}

    a^{n}\:a^{p} = a^{n+p}

     10\:x^{\frac{1}{3}+2} - x^{\frac{1}{3}-2}

     10\:x^{\frac{7}{3}} - x^{-\frac{5}{3}}
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  3. #3
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    Joined
    Jun 2009
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    Thanks again. The basic rules keep slipping out of my head..
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