For each odd positive integer n, the only real number solution to x^n=1 is n = 1 while for even positive integers n, x=1 and x = − 1 are solutions to x^n=1. In this problem, we look for all complex number solutions to x^n=1 for some small values of n. 1. Find all complex numbers a + bi whose cube is 1.

2. Find all complex numbers a + bi whose fourth power is 1.