2
QuizMultiple Choice

Complex Numbers — Quiz

Question 2 • Advanced Algebra: Concepts and Connections

What is the value of i to the 97th power minus i ?

Answer
A
negative 2 i
B
negative i
C
i to the 96th power
D
0

Explanation

Powers of i repeat every 4, and 97 leaves a remainder of 1 when divided by 4, so i^97 = i. Therefore, i^97 − i = i − i = 0, which is choice C.

AI-written and checked against the verified answer.

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