4. b) Use De Moivre's theorem to express (-square root 2 / 2 + i square root 2 / 2 )^50 in the form a + bi

I found out on the unit circle the point is at 135 degrees. Once applying the exponent rules the point becomes 270 degrees (0,-1).

At this point I am stuck trying to convert to a + bi form.

I believe it is radius 2^25 so we get: 2^25 (0 - 1i) for an answer of 2^25i. Yes?