(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

if w is the nth root of unity, i.e. w= exp(2pi/n i) show:

[itex](1-w)(1-w^2)...(1-w^{n-1})=n[/itex]

2. Relevant equations

3. The attempt at a solution

since w^(n-a)= complex congugate of w^a

terms on the left hand side are going to pair up to give [itex]|1-w|^2 |1-w^2|^2...[/itex]

but I'm not sure what to do from here.

Thanks

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# Homework Help: Roots of unity

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