OpenStax, Algebra and Trigonometry 2e §2.4 Complex Numbers · Exercise 63 · Complex Numbers · Arithmetic of ℂ

Complex Numbers · Exercise 63

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Evaluate $(l + i)^{k} - (l - i)^{k}$ for $k = 4, 8,$ and $12$ . Predict the value for $k = 16.$

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OpenStax, Algebra and Trigonometry 2e · §2.4 Complex Numbers · Exercise 63

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