First what you should know is that:
i = root (-1)
We note that in this case the exponent is odd.
So we can rewrite the expression as:
i ^ 13 = (i ^ 2) * (i ^ 2) * (i ^ 2) * (i ^ 2) * (i ^ 2) * (i ^ 2) * i
i ^ 13 = (- 1) * (- 1) * (- 1) * (- 1) * (- 1) * (- 1) * i
i ^ 13 = (1) * i
i ^ 13 = i
Answer:
the simplified form of i ^ 13 is:
D. i