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If 1,omega,omega^(2),...omega^(n-1) are ...

If `1,omega,omega^(2),...omega^(n-1)` are n, nth roots of
unity, find the value of `(9-omega)(9-omega^(2))...(9-omega^(n-1)).`

A

`0`

B

`n`

C

`(9^(n)+1)/(8)`

D

`(9^(n)-1)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
D
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