College Algebra / Unit 4 Alg 191 short lesson, about 20 seconds
The Powers of i
Captions available
The idea
The powers of i cycle with period four: i, −1, −i, 1, then around again forever.
In practice
i² = −1, i³ = i² · i = −i, i⁴ = (i²)² = 1, and i⁵ starts the wheel over at i. Any power reduces by remainders of four.
Your place on the trail
Every lesson rests on earlier ones and opens later ones. Tap any to jump.
Builds on
- Nothing. This is a starting point.
Unlocks
- Nothing yet depends on this.
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