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Empty
 one year ago
Can a rational number (not including 0, 1, or 1) be raised to an irrational power be rational?
Empty
 one year ago
Can a rational number (not including 0, 1, or 1) be raised to an irrational power be rational?

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ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1I think I have asked this question sometime back \[(a/b)^x = p/q \iff x = \log_{a/b} (p/q) \]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1There exist irrational numbers that are logarithm of a rational number relative to a rational number base. So we're done.

Empty
 one year ago
Best ResponseYou've already chosen the best response.0Awesome thanks that makes a lot of sense!
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