Raising Power of Exp

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October 20th 2008, 11:01 AM
Mathsnewbie

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
October 20th 2008, 11:20 AM
Shyam

Reply

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

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

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

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

$=x^{\frac{2}{3}}$
October 20th 2008, 11:31 AM
Mathsnewbie

That's great, thanks for the help(Happy)

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