
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

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

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