## siddhantsharan Group Title Can rational to the power irrational be rational? one year ago one year ago

1. LolWolf Group Title

No, but I have no formal proof of it, if I can come up with one, I'll post it up.

2. LolWolf Group Title

(Other than the trivial case: $$1^a$$, where $$a\in \mathbb{R}$$)

3. LolWolf Group Title

(And 0)

4. siddhantsharan Group Title

Are you sure no?

5. LolWolf Group Title

I'm pretty sure, yes, but you can try proving it yourself, it doesn't look to be a simple, elementary proof.