[thomasbk]

The given answer is "no"[1], all powers are irrational. I'm not sure how this simple "no" would be helpful to you without understanding any part of the proof.

[1] assuming https://en.wikipedia.org/wiki/Schanuel%27s_conjecture

[ctdonath]

A simple "no" is helpful because it answers the title question without having to grok the proof. Some of us appreciate math geekery without being one.