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Math Help - Raising Power of Exp

  1. #1
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    Raising Power of Exp

    Hi I was wondering if someone could help, I've been doing my maths solutions and wasn't 100% sure about this. If I have

    XExp((-1/3)LogX)

    Can I raise the X to be a power? I know I can raise the (-1/3) but can I raise the X to make it (-X/3) as the power? Thanks
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  2. #2
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    Reply

    x.e^{(\frac{-1}{3}\log_e x)}

    = x.e^{\log_e (x)^{\frac{-1}{3}}}

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

    =x^{1+\frac{-1}{3}}

    =x^{\frac{2}{3}}
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  3. #3
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    That's great, thanks for the help
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