If - is a complex cube root of unity- then the value of 1- 1- 21- 41- 8-2n-1 terms is

The correct option is B ω We know, 1+ω+ω^2=0 ⇒ (1+ω)(1+ω^2)(1+ω^4)(1+ω^8)... (2n+1) terms =( ω^2)( ω)( ω^2)( ω)... ( ω^2)( ω) =(ω^3)^n ...

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Properties of Cube Root of a Complex Number

If ω is a c...

Question

If $ω$ is a complex cube root of unity, then the value of $(1 + ω) (1 + ω^{2}) (1 + ω^{4}) (1 + ω^{8}) . . . (2 n + 1)$ terms is

1

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2 ω

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- ω

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- ω^{2}

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Solution

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