Lecture 9 (College Algebra)

Since the powers of i cycle every four, what is i¹⁰⁰²?

1. A.1, because 1002 is a multiple of 4
2. B.−1, since i¹⁰⁰⁰·i² = 1·(−1)
3. C.i, since 1002 leaves remainder 1
4. D.−i, since 1002 leaves remainder 3