## Find the unit digit in 3^{52} ?

Solution: Now here the power is 52 and we know that in case of 3, it repeats itself after a cycle of 4 .

52/4 the remainder is 0.

In such cases, our answer should be th e 4 ^{th} power

So answer is unit digit in 3^{4} is 1.

Let us do some more complex examples