Question

What value is the nth root of unity for any value n?

Answer 1

1=exp(2k pi i) i=sqrt(-1) so 1^1/n=exp(2k pi i/n) for k=0,1,2,3...n-1
n roots are different

Answer 2

or cos(2k pi/n)+i sin(2k pi/n) k=0,1,2...n-1