Explanation

Complex numbers follow algebraic identities.

Key facts:

• i² = −1

• i³ = −i

• i⁴ = 1 (pattern repeats)

These identities help simplify expressions.

Example:
i⁷ = i³ · i⁴ = −i

Quiz

1. What is i²?

2. What is i³?

3. What is i⁴?

4. What is i⁶?

5. How often do powers of i repeat?

Answer Key

1. −1

2. −i

3. 1

4. −1

5. Every 4 powers