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The Four Values

Mathematics · Class 10

i¹ = i. i² = -1. i³ = i² * i = -i. i⁴ = (i²)² = 1. Then i⁵ = i again. Negative powers: i^-1 = 1i = -i, and i^-2 = 1i² = -1.

i, -1, -i, 1
i² = -1
period 4
keep the ideas separate
The Four Values: i¹ = i. i² = -1. i³ = i² * i = -i. i⁴ = (i²)² = 1. Then i⁵ = i again. Negative powers: i^-1
WHAT — THE FOUR VALUES: i¹ = i. i² = -1. i³ = i² * i = -i. i⁴ = (i²)² = 1. Then i⁵ = i again. Negative powers: i^-1
HOW — Use the idea: Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check
CORE UNDERSTANDING: i¹ = i. i² = -1. i³ = i² * i = -i. i⁴ = (i²)² = 1. Then i⁵ = i again. Negative powers: i^-1

Right triangle — The Four Values — original sketch for this lesson (not copied from a textbook).