What is the simplification of $ {e^2}^n $?

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I'm stuck on this problem, can someone tell me what the simplification of the following is?

$$\ {e^2}^n $$

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The default is that ${e^2}^n$ is read as $e^{(2^n)}$, for which there is no simplification. In fact, the reason given for the default is the lack of a simplification. It becomes larger than $k^n$ for any $k$ once $n$ is large enough.