Find the Product of Complex Numbers

Practice Questions

Pre-Calculus › Find the Product of Complex Numbers

Questions

8

1

Evaluate:

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

2

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

3

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

4

Find the following product.

${}(1-i)^{n}(1+i)^n$

5

Find the product , if

.

6

Compute the following sum:

${}1+i+i^2+i^3....+i^{2015}$ . Remember is the complex number satisfying ${}i^{2}=-1$ .

7

Compute the magnitude of ${}(1+i)^{n}$ .

8

Find the product of the two complex numbers

$\small 3+7i$ and $\small 7+10i$

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