No1. How can De Moivre's theorem be described? What is the scope of this theorem? Give two examples for roots and two examples for powers.

No2. Complete the following questions utilizing the concepts introduced in this unit. The assignment will be graded by your instructor.

2a. Evaluate the cube root ofz=27cis(240^ \circ). Then raise them to the cube. Show the steps of your reasoning.

2b. Evaluate[ \sqrt[5]{3} ( \frac{ \sqrt{3}}{2}+ \frac{i}{2} ) ]^{10}.

2c. Find\frac{z_1}{z_2}in polar form:

z_1=21cis(135^ \circ)z_2=3cis(75^ \circ)