My question has (square root 2 / 2 - i square root 2 / 2)^20 and I must express this in the form a+bi.

I was able to find the angle of 315 degrees. Now I must find the radius, is it 1?

I've divided everything by square root of 2 since that is what it can simplify to, and then used the answer and used the formula r= square root of a^2+b^2. I got "1". Can you check if this is the radius?