anonymous
  • anonymous
Can rational to the power irrational be rational?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
No, but I have no formal proof of it, if I can come up with one, I'll post it up.
anonymous
  • anonymous
(Other than the trivial case: \(1^a\), where \(a\in \mathbb{R}\))
anonymous
  • anonymous
(And 0)

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anonymous
  • anonymous
Are you sure no?
anonymous
  • anonymous
I'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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