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If $ω \neq 1$ is a cube root of unity, then value of ${(1 + ω - ω^{2})}^{7}$ equal

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128ω

-128ω

128ω2

-128ω2

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detailed solution

Correct option is D

1+ω−ω27=−ω2−ω27=−27ω14=−128ω2

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If ω ≠ 1is a cube root of unity, then value of 1+ω−ω27 equal

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If $ω \neq 1$ is a cube root of unity, then value of ${(1 + ω - ω^{2})}^{7}$ equal