A googol ($10^{100}$) is a massive number: one followed by one-hundred zeros; $100^{100}$ is almost unimaginably large: one followed by two-hundred zeros. Despite their size, the sum of the digits in each number is only $1$.
Considering natural numbers of the form, $a^b$, where $a, b \lt 100$, what is the maximum digital sum?
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