Is $e^n$ for $n$ an integer an element of the field $\mathbb{Q}(e)$?
2026-04-05 17:56:54.1775411814
Elements of $\mathbb{Q}(e)$
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Yes !
Obviously $e \in \mathbb{Q}(e)$, but $\mathbb{Q}(e)$ is a field, then the product $e*e \in \mathbb{Q}(e)$ and by induction $e^n \in \mathbb{Q}(e)$ for every n.