Question

Cube root of i

Answer 1

answer: -i because (-i)^3 = i

This is from (-i)(-i)(-i) = -(-1)i = i

Answer 2

A little more explicitly:

(-i)^3 = (-i)(-i)(-i) = [(-1)^3](i^3) = -(i^3) = (-1)(i^2)(i)

= (-1)(-1)(i) = i