(1+i)^100 equals which of the following quantities?

(a) 2^100

(b) -2^50

(c) 2^50

(d)1-2^100

I do know that i^2 is -1. so i^100=-1^50, right?

1^100=1.

So, 1-1^50 is what I come up with, and that is 0. Not an option. Can you tell me where I'm going wrong?