N is an integer whose representation in base b is 777. Find the smallest positive integer b for which N is the fourth power of an integer.
The base b of 777 = 18. So N =18^2 * 7 + 18^1 * 7 + 18^0 * 7 =2401 in base 10.
2401^(1/4) = 7 - The smallest positive integer b
