Let to the generator of the roots of unity. That means, contains the roots of unity.

Choose .(a) Show the conjugate of any nth root of unity is another root of unity, by expressing omega(bar)^j in the form omega^k for appropriate k.

Then,

We have, (since ).(b) Find the product of the nth roots of unity

Because .

How is that different from (b)?(c) Find the sum Summation (n-1), k=0 for omega^k of nth roots of unity. (this is a geometric series).