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Thread: Simplifying exponents again....

  1. October 28th 2007, 10:24 AM #1
    Dunit0001
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    Simplifying exponents again....

    How do I do this one...

    (u^2/v)^2 + (-u^-2v)^-2 ????

    I got to u^4/v^2 + u^4v^2
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  2. October 28th 2007, 12:34 PM #2
    earboth
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    Quote Originally Posted by Dunit0001 View Post
    How do I do this one...

    (u^2/v)^2 + (-u^-2v)^-2 ????

    I got to u^4/v^2 + u^4v^2
    Hello,

    \left(\frac{u^2}{v}\right)^2+(-u^{-2} \cdot v)^{-2} = \left(\frac{u^4}{v^2}\right)+u^4 \cdot \frac{1}{v^2}=\boxed{2 \cdot \frac{u^4}{v^2}}
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