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QuizMultiple Choice

Complex Numbers — Quiz

Question 1 • Advanced Algebra: Concepts and Connections

Which expression is equivalent to i to the 233th power ?

Answer
A
negative i
B
1
C
negative 1
D
i

Explanation

Powers of i repeat every 4: i, −1, −i, 1. Since 233 = 4 × 58 + 1, i²³³ has the same value as i¹, which is i. The correct choice is A, i.

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