1. The problem statement, all variables and given/known data Which is bigger 2^500 or 5^200 2. Relevant equations - 3. The attempt at a solution Well I got to 2^2^250 -> 4^250 vs 5^200... by the looking at it 4^250 is bigger but I can't just say it looks bigger... There are lots of these that I can't get on a common base, so if anyone can point me to the right direction I'll give lots of love.