Evaluate Powers of Complex Numbers Using DeMoivre's Theorem

Practice Questions

Pre-Calculus › Evaluate Powers of Complex Numbers Using DeMoivre's Theorem

Questions

10

1

Find the magnitude of :

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

2

What is the magnitude of ?

3

Evaluate:

4

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

5

Simplify

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

6

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

7

$(3 \sqrt3 -3i) ^ 6$

8

9

Find the magnitude of the complex number described by .

10

Evaluate $(-3 + 3i ) ^{ 12}$

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