The ones digit of the fourth power of an integer cannot be...
.....1^4 ends in1
......2^4 ends in 6
......3^4 ends in 1
......4^4 ends in 6
......5^4 ends in 5
......6^4 ends in 6
......7^4 ends in 1
......8^4 ends in 6
......9^4 ends in 1
......0^4 ends in 0
So....
3 is the answer