Refer to Problem 68. Show that the complex nth roots of a nonzero complex number w are

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Refer to Problem 68. Show that the complex nth roots of a nonzero complex number w are equally spaced on the circle.

Data from problem 68

Use the result of Problem 67 to draw the conclusion that each complex nth root lies on a circle with center at the origin. What is the radius of this circle?

Data from problem 67

Show that each complex nth root of a nonzero complex number w has the same magnitude.

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