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Complex Plane

Source: 1995 National High School Mathematics League, Exam One, Problem 2

March 2, 2020
complex numbers

Problem Statement

Complex numbers of apexes of 20-regular polygon inscribed to unit circle refer to are Z1,Z2,⋯ ,Z20Z_1,Z_2,\cdots,Z_{20} on complex plane. Then the number of points in Z11995,Z21995,⋯ ,Z201995Z_1^{1995},Z_2^{1995},\cdots,Z_{20}^{1995} refer to is (A)4(B)5(C)10(D)20\text{(A)}4\qquad\text{(B)}5\qquad\text{(C)}10\qquad\text{(D)}20
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