If $2000$ can be represented in the form of $a^a * b^b$, what is the least possible value of $a*b$? As a hint the answer is between $0-99$. I have tried logarithm but I am not getting how to proceed.
2026-03-24 22:06:56.1774390016
Factorisation of numbers
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Let $a\rightarrow0^+$. Thus, $a^a\rightarrow1$ and $ab\rightarrow0^+$.
Id est, the minimum does not exist.