Question 105265
look at the powers of 2


2, 4, 8, 16, 32, 64, 128, 256, ...


see a pattern? ... the units digit repeats in a cycle of four 2 - 4 - 8 - 6


98 divided by 4 is 24 with a remainder of 2
... this means the units digit in 2^98 is the second in the cycle - 4


so, what's the remainder?