Question

Let n be a positive integer. What is the product of all the nth roots of unity?

Answer 1

If you multiply all the nth roots of unity, what do you get?

Answer 2

for n=2 you get -1

Answer 3

see this

http://www.its.caltech.edu/~padraic/math1d_2010/ma1d_wk7_notes_2010.pdf

look at page 5 (of 8) and look at theorem 2.9

Answer 4

oh... who would have thought :) thanks guys
no further help needed today