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

1 Answer
Ratnaker Mehta
Apr 16, 2017

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.

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