JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

1, \omega, \omega^2

are the three cube roots of unity, then

\left(1-\omega+\omega^2\right)\left(1-\omega^2+\omega^4\right)\left(1-\omega^4+\omega^8\right) \ldots

2 n

factors

=

View answer and explanation

Correct option: B

2^{2 n}

Option B (

2^{2n}

) is correct because the expression simplifies to

2^{2n}

using the properties of cube roots of unity.

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