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Dr. Kat Math Practice
Complex Book 5, Lesson Page 1, Section 7
Explain why i² = -1 using the definition i = √-1, and use the 4-cycle pattern (i, -1, -i, 1) to evaluate any integer power of i.
Powers of i repeat every four steps: i¹ = i, i² = -1, i³ = -i, i⁴ = 1, then the cycle restarts. This happens because i = √-1 means i² = -1 by definition.
5 questions · pace yourself · explanations on every answer