Evaluating powers of the imaginary unit

Evaluating powers of the imaginary unit

IB Year 6 | Grade 12

Evaluate the following.

\(i^{58}\)
\(i^{123}\)
\(i^{-13}\)
\(i^{4n+3}\) where \(n\in\mathbb{Z}^{+}\)

Solution:

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Answer:(a) \(-1\) (b) \(-i\) (c) \(-i\) (d) \(-i\)

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