# Raising Power of Exp

• 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
$x.e^{(\frac{-1}{3}\log_e x)}$
$= x.e^{\log_e (x)^{\frac{-1}{3}}}$
$=x.x^{\frac{-1}{3}}$
$=x^{1+\frac{-1}{3}}$
$=x^{\frac{2}{3}}$