Powers and Roots of Complex Numbers

Practice Questions

Pre-Calculus › Powers and Roots of Complex Numbers

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1

Find the magnitude of :

${}(1+3i)^{7}$ , where the complex number satisfies ${}i^{2}=-1$ .

2

What is the magnitude of ?

3

Find the magnitude of :

${}(1+3i)^{7}$ , where the complex number satisfies ${}i^{2}=-1$ .

4

What is the magnitude of ?

5

Evaluate $(2 -2 \sqrt3)^6$

6

Simplify

$\small (\cos x+i\sin x)^3$

7

Evaluate:

8

Use DeMoivre's Theorem to evaluate the expression $(\sqrt3 - 3i ) ^ 6$ .

9

Evaluate:

10

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