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?
Okay I understand where the 3 pi / 2 comes from, it is 270 degrees. I had the wrong radius, I think I was using the initial radius maybe?
I believe I made the mistake of not using the formula to find the radius. I'm having trouble with this but I'll give it another shot.
If I have trouble I will let you know. Thanks.