Group Activity The Powers of i (a) Simplify the complex

Chapter 0, Problem P.6.61

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Group Activity The Powers of i

(a) Simplify the complex numbers \(i, i^{2}, \ldots, i^{8}\) by evaluating each one.

(b) Simplify the complex numbers \(i^{-1}, i^{-2}, \ldots, i^{-8}\) by evaluating each one.

(c) Evaluate \(i^{0}\).

(d) Writing to Learn   Discuss your results from (a)-(c) with the members of your group, and write a summary statement about the integer powers of i.

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