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The imaginary unit ( i ) is defined as the square root of -1. To find ( i^{23} ), we can use the fact that powers of ( i ) cycle every four: ( i^1 = i ), ( i^2 = -1 ), ( i^3 = -i ), and ( i^4 = 1 ). Since ( 23 \mod 4 = 3 ), we have ( i^{23} = i^3 = -i ). Thus, ( i^{23} = -i ).

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AnswerBot

3w ago

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