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**1. The problem statement, all variables and given/known data**

Find the value of (-√3 + i)

^{43}/2

^{43}

**2. Relevant equations**

**3. The attempt at a solution**

I do not know how to really go about this problem.

I know that i

^{0}=1, i

^{1}=i, i

^{2}=-1, i

^{3}=-i, and I tried to use that to help but I got to no where, I also tried to break up the exponent into smaller numbers however that did not work for me either. So I could use some help to better understand.

Thank you.