If - is an imaginary number cube root of unity then -1-4-1-8-1-22-1-44-equals to -1-2 -2- -3-9 -4-0

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Properties of Determinants

If ω is an im...

Question

If ω is an imaginary number cube root of unity then (1-ω^4)(1-ω^8)(1-ω^{22})(1-ω^{44})equals to (1)ω^{2 } (2)ω (3)9 (4)0

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ω

(1 - ω^{4}) (1 - ω^{8}) (1 - ω^{22}) (1 - ω^{44})

ω

(1 - ω + ω^{2}) (1 - ω^{2} + ω^{4}) (1 - ω^{4} + ω^{8}) (1 - ω^{8} + ω^{16})

ω

(1 + ω) (1 + ω^{2}) (1 + ω^{3}) (1 + ω^{4}) (1 + ω^{5}) . . . . (1 + ω^{3 n})

ω

(1 - ω + ω^{2}) (1 - ω^{2} + ω^{4}) (1 - ω^{4} + ω^{8})

=

The value of
$(1 - ω + ω^{2}) (1 - ω^{2} + ω^{4}) (1 - ω^{4} + ω^{8}) (1 - ω^{8} + ω^{16})$ is, where $ω$ is the cube root of unity

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