Imaginary and Complex Numbers Exercises

Imaginary and Complex Numbers Exercises

Example 1

Simplify.

3i³ – 4i(6i¹⁶) + 2

Hint

3(-i) – 24(i)(i⁴)⁴ + 2

Example 2

Simplify.

i²³⁴⁶

Hint

2346 is divisible by 2 and 3, but not by 4.

Example 3

Simplify.

5 + i – (i⁷ – 4)(2i + 1)

Hint

5 + i – (2(i⁴)² + (i⁴)(i³) – 8i – 4)

Example 4

Simplify.

(2 – i)⁴

Hint

(3 – 4i)²

Example 5

Simplify.

-1 + 3i² + 6(4 – i)

Hint

-1 + 3(-1) + 24 – 6i