+0

# Math

0
161
1
+151

Complex number z lies on the circle centered at 0 with radius 5. What is |z^3|?

Oct 13, 2018

$$z = 5 e^{i \theta} \\ z^3 = 5^3 e^{i3\theta} \\ |z^3| = 5^3 = 125$$