Gel'fond-schneider Theorem

If $\backslash alpha$ is an algebraic number (with $\backslash alpha\backslash neq\; 0$ and $\backslash alpha\backslash neq\; 1$), and $\backslash beta$ is an irrational algebraic number, then $\backslash alpha^\{\backslash beta\}$ is a transcendental number.

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