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siddhantsharan
 3 years ago
Can rational to the power irrational be rational?
siddhantsharan
 3 years ago
Can rational to the power irrational be rational?

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LolWolf
 3 years ago
Best ResponseYou've already chosen the best response.1No, but I have no formal proof of it, if I can come up with one, I'll post it up.

LolWolf
 3 years ago
Best ResponseYou've already chosen the best response.1(Other than the trivial case: \(1^a\), where \(a\in \mathbb{R}\))

siddhantsharan
 3 years ago
Best ResponseYou've already chosen the best response.0Are you sure no?

LolWolf
 3 years ago
Best ResponseYou've already chosen the best response.1I'm pretty sure, yes, but you can try proving it yourself, it doesn't look to be a simple, elementary proof.
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