Polar form of complex numbers, De Moivre's theorem Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/precalculus/polar-form-of-complex-numbers-de-moivre-s-theorem/quiz/

1. 1

   Write 2(cos 60° + i sin 60°) in rectangular form

   Answer: ____________________

2. 2

   Write 4(cos 120° + i sin 120°) in rectangular form

   Answer: ____________________

3. 3

   Write 6(cos 330° + i sin 330°) in rectangular form

   Answer: ____________________

4. 4

   Simplify (1 + i)⁸

   Answer: ____________________

5. 5

   Simplify (√3 + i)⁶
   1. A) 64
   2. B) −64
   3. C) 30
   4. D) 2

6. 6

   Simplify (−1 + i)⁴

   Answer: ____________________

7. 7

   Simplify (1 + i√3)³
   1. A) 60
   2. B) −8
   3. C) 2
   4. D) 8

8. 8

   Simplify (1 − i)⁶

   Answer: ____________________

9. 9

   Simplify (2 + 2i)⁴
   1. A) 64
   2. B) 45
   3. C) 180
   4. D) −64

10. 10

    Simplify (−√3 + i)³

    Answer: ____________________