Can a transcendental number raised to an algebraic power be algebraic?
March 2, 2013 6:33 AM Subscribe
Can a transcendental number such as pi, be raised to an irrational, but algebraic power resulting in an algebraic solution? Complex solutions would be acceptable. There might be a quick proof here, or there might not be. - Thanks for any help you can offer answering this! (And I promise that this isn't for a class or anything like that!)