Prove that, for each integer k, i^(4k)=1, i^(4k+1)=i, i^(4k+2)=-1, i^(4k+3)=-i Show how this result gives a formula

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Prove that, for each integer k, i^(4k)=1, i^(4k+1)=i, i^(4k+2)=-1, i^(4k+3)=-i Show how this result gives a formula for i^n for all n by writing n=4k+j, 0<=j<=3.

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University Physics with Modern Physics

ISBN: 978-0321696861

13th edition

Authors: Hugh D. Young, Roger A. Freedman, A. Lewis Ford

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Posted Date: Aug 26, 2022 12:54 AM

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Prove that, for each integer k, i^(4k)=1, i^(4k+1)=i, i^(4k+2)=-1, i^(4k+3)=-i Show how this result gives a formula

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University Physics with Modern Physics

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