Chapter 9.3, Problem 69AYU

Refer to Problem $68$, Show that the complex $n^{th}$ roots of a nonzero complex number $w$ are equally spaced on the circle.

Problem 68: Use the result of Problem $67$ to draw the conclusion that each complex $n^{th}$ root lies on a circle with center at the origin. What is the radius of this circle?

Problem 67: Show that each complex $n^{th}$ root of a nonzero complex number $w$ has the same magnitude.