Question

If w is a complex cube roots of unity then w^17: 1. 0 2. 1 3. w 4. w^2 Pleas explain?

Answer 1

`omega in CC` is a cube-root of unity `:. omega^3=1.`

`:. omega^17=omega^(15+2)=omega^15*omega^2=((omega^3)^5)*omega^2=((1)^5)*omega^2=omega^2.`

`:." Answer : Option 4. "omega^2.`