If z^n = 1, what is the value of z?

If z^n = 1, what is the value of z?

1. n is a non zero integer.

2. z '>' 0. 

For z^n = 1, and n being a non zero integer, there are 3 possible ways.

a. 1^1 = 1

b. 1^- 1 = 1

c. - 1^2 = 1

Statement 1 not conclusive. Z could be 1 or -1.

Statement 2: z '>' 0.

==> we need both statements to solve for z.

Answer: C.