Find how many digits the base five number 5^(6^9) has when written in base five.
I think it has: 4.444444444444..._5×5^10077695 =10077696 digits.
I think it has 23 digits = 22120202341134444310412_5
5^0 has 1
5^1 has 2
etc
so
5^(6^9) has 6^9+1 digits when written is base 5
by the way, 5^(6^9) is a base 10 number, not a base 5 number. Base 5 can only use the digits 0,1,2,3,4