A complex number () is considered to have order n, denoted as ∠() = n, if ()ⁿ = 1 and ()ᵐ ≠ 1 for 0 < m < n. Demonstrate that if () has order n and ()ᵏ = 1, where k > 0, then n is a multiple of k.
A. n = 2k
B. n = k
C. n = 3k
D. n = k/2