Two algebraically independedntindependent irrational numbers $\alpha,\beta$ s.t. $\alpha^\beta$ is a rational number

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Two algebraicalgebraically independednt irrational numbers $\alpha,\beta$ s.t. $\alpha^\beta$ is a rational number

Are there two transcententally independedntalgebraically independent irrational numbers $\alpha,\beta$ s.t. $\alpha^\beta$ is a rational number?

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edited May 30 at 14:54

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occurred May 30 at 14:52

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occurred May 30 at 14:42

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asked May 30 at 13:52

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