HMMT 2023 U1

Suppose $a$ and $b$ are positive integers such that $a^{b}=2^{2023}$ . Compute the smallest possible value of $b^{a}$ .

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.