What is the last digit of \(2074^{35849}\)?
Last digits:
4^1 is 4
4^2 is 6
4^3 is 4
4^4 is 6...
35849 is odd, so it's 4.
The last digit is 4. There’s a pattern: 4,6.... so just divide 35849 by 2. There’s a remainder of 1. So the answer is \(4\)