If $e$ is an infinite cardinal number and $d$ is a cardinal number satisfing $2 ≤ d ≤ 2^e$. I need to prove the following
$$d^e= 2^e$$
Any help will be appreciated.
Thank you in advance.
.
2026-04-04 13:38:40.1775309920
Problem on infinite cardinal number
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$$2^e\le d^e\le 2^{e\cdot e}= 2^e.$$