How to draw the function $f(x)=(x^2(e^x-1))^{\frac{1}{5}}$?

Question

I would like to draw the following function: $f(x)=(x^2(e^x-1))^{\frac{1}{5}}$

I can draw the function $x^\frac{1}{5}$ pretty easily, but now I'm struggling to represent the function as a whole.

Answer 1

Write your $$f(x)$$ in the form $$f(x)=x^{2/5}(e^x-1)^{1/5}$$