Suppose a friend says that she has discovered a method of simplifying a positive power of i: “Just divide the exponent by 4. The answer is i raised to the remainder.” Explain why her method works.

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
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SectionP.CR: Chapter Review
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Suppose a friend says that she has discovered a method of simplifying a positive
power of i:
“Just divide the exponent by 4. The answer is i raised to the remainder.”
Explain why her method works.

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