Products and Quotients of Complex Numbers in Polar Form

Practice Questions

Pre-Calculus › Products and Quotients of Complex Numbers in Polar Form

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1

Evaluate:

$(2+i)\cdot(1+4i)$

2

Evaluate:

$(2+i)\cdot(1+4i)$

3

Simplify $\frac{3+5i}{2-4i}$ into a number of the form .

4

Simplify: $i^4 \times i^3$

5

Simplify $\frac{3+5i}{2-4i}$ into a number of the form .

6

Simplify: $i^4 \times i^3$

7

Divide.

$\frac{4-i^3}{5+i}$

8

Divide.

$\frac{4-i^3}{5+i}$

9

Find the product , if

.

10

Find the value of ${}(1+i)^{100}$ ,where the complex number is given by ${}i^2=-1$ .

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