Euler problem 56

A googol (10¹⁰⁰) is a massive number: one followed by one-hundred zeros; 100¹⁰⁰ 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  100, what is the maximum digital sum?

Solution: 

Problem56 =         972 elapsed time:   17 ms. Test Passed.