JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

\omega(\neq 1)

, is a cube root of unity, then value of

\left(1+\omega-\omega^2\right)^7

equals

View answer and explanation

Correct option: D

-128 \omega^2

Option D (

-128\omega^2

) is correct because the expression simplifies to

(-2\omega^2)^7

, which equals

-128\omega^{14}

and further simplifies to

-128\omega^2

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