What is the units digit of 2013 to the power of 2013?

Answer 1

Oh, dude, okay, so when you raise 2013 to the power of 2013, you're basically asking what the units digit of that massive number is. Well, lucky for you, you don't need to calculate the whole thing because the units digit of a number repeats in a pattern. So, the units digit of 2013 to the power of 2013 is 7. Cool, right?

Answer 2

The units digit of 20132013 is the same as the units digit of 32013.

The units digit of 34 = units digit of 81 = 1

So units digit of 32013 = 32012+1 = 34*503+1 = 34*503 *31 = 1503*3 = 3