Complex Numbers

Simplifying Powers of i

100

Simplify the following: i²

-1

200

Simplify the following: i³

-i

300

Simplify the following: i⁴

1

400

Simplify the following: √(-36)

6i

500

Simplify the following: i¹⁰⁰

Simplify the following:1

Adding Complex numbers

100

(3 +4i)+(5+5i)

8 + 9i

200

(2 -3i)+(6+7i)

8 + 4i

300

(-6 -i)+(2-3i)

-4 - 4i

400

(2 +7i)+(4+6i)

6 + 13i

500

(9 + 3i) +(7 - 3i) +(-5 - i)

11 -i

Multiplying Complex Numbers

100

(3 +4i)(5+5i)

-5 + 35i

200

(1 -3i)(2+4i)

14-2i

300

3i (4-i)

3 + 12i

400

(2 +3i)(2-3i)

13

500

(2 +5i)^2

-21+20i

Preform the following operation

100

(2 + 10i) + (7 - 2i)

9 - 8i

200

(2 +2i)(4+i)

6+10i

300

(-4 +7i) - ( -3 -5i)

-1+12i

400

(6 +2i)(4+8i)

8 + 56i

500

(3+5i)^2

-16+30i

Subtracting Complex Numbers

100

(4+2i)-(5+9i)

-1 -7i

200

(3 + 6i) - (3 - i)

7i

300

(4 +i)-(6+2i)

-2-i

400

(6 +7i)-(3+5i)

3+2i

500

(8 +i)-(-2-2i)

10+3i