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w is imaginary cube root of unity then (1+w-w^2)^7?

w is imaginary cube root of unity then
(1+w-w^2)^7?

Grade:9

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
8 years ago
Hello Student,

\\(1+\omega-\omega^2)^7 \\=>(-\omega^2-\omega^2)^7 \\=>(-2\omega^2)^7 \\=>-128\omega^2

Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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