What is the simplified form of i13?

A. - i

B. 1

C. - 1

D. i

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