Only the last two digits of each multiplication by 2018 contribute to the last two of the result, so I would hazard a guess that it would be similar to 18^2018...now to work on reducing the power.
Seems to repeat every 5th power, so I put in 68 as the last two digits?
This is tricky to do while juggling kids...
You can juggle kids? That we must see!
They must have been distracting, as nearly there, but the first power isn't in the cycle of numbers.
Lol... Oops, that would be the kiddie distraction part! I did notice that, but I think I started counting wrong...