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

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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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