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If ω is an imaginary cube root of unity, then (1 + ω − ω^2 )^7 equals

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If ω is an imaginary cube root of unity, then (1 + ω − ω2 )7 equals 

(1) 128 ω 

(2) − 128 ω 

(3) 128 ω2 

(4) − 128 ω2

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1 Answer

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Best answer

Correct Option  (4) − 128 ω2

Explanation:

(1 + ω − ω2 )7 = ( − 2ω2 )7 = − 128 ω14 = − 128 ω2

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