College Algebra / Alg 191 · Atom · ~20 seconds
The Powers of i
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State
The powers of i cycle with period four: i, −1, −i, 1, then around again forever.
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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.
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