Complex Numbers

Adding/ SubtractingComplex Numbers

100

Simplify

5 + i + 2

7+i

200

Simplify 

(3i + 2) + (5i + 7)

9 + 8i

300

Simplify
(12 + 6i) - (20 +5i)

-8 + i 

400

Simplify

(14 + 2i) - (10 + 3i) - (-9 + 17i)

13 - 18i

500

Simplify

(34 + 15i) - (-2 - 17i) + (16 + 25i) 

52 + 57i

MultiplyingComplex Numbers

100

3i (i -3)

-3 - 9i

200

(5 - i) (5 + i)

26

300

(3 + 12i) (2 - 7i)

90 + 3i

400

(10 - 7i)²

51 - 140i

500

(-8i)(4 + 5i)(-6 - 4i)

-368 + 32i

DividingComplex Numbers

100

Simplify Completely

- 4 / 5i

4i / 5

200

Simplify Completely

5+i / 3-i

7+4i / 5

300

Simplify Completely

-3-3i / -6-2i

6+3i / 10

400

Simplify Completely

(15 - 4i)(9 + 6i) / (9 + 6i)(15 - 4i)

1

500

Simplify Completely

(12 - 7i)(6 + 8i) / (48 - 28i)(6 + 8i)

1/4

Simplify

100

2i⁴ + 5i³ - 3i² + 5i - 2

3

200

(10 + 4i)²

84 + 80i

300

(2 + 4i) + 3i(4 - 6i)

20 + 16i

400

(3i)(3+7i)(-3-9i) 

144 + 162i 

500

Simplify

(-4 + 9i)² + (5- i) - (-1 - 6i)

-59 - 67i

Simplify Powers of i

100

What is i² ?

-1

200

What is i⁴ ?

1

300

What is i⁹⁷ ?

i

400

What is i⁷⁸⁹ ?

i

500

What is i¹²⁹⁴ ?

-1