I need to find the derivative of $\displaystyle f(x) = 5e^x * x^{\frac{1}{6}}$

So far I've gotten $\displaystyle 5e^x * \frac{1}{6} * x^{\frac{-5}{6}}$

However, I'm uncertain where to go next.

I thought $\displaystyle x^{\frac{-5}{6}} = \frac{1}{x^{\frac{5}{6}}}$

Ergo I would end up with $\displaystyle \frac{5e^x}{6x^{5/6}}$

That's obviously wrong, though...