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The expression ( i^6 ) can be simplified using the powers of the imaginary unit ( i ), where ( i = \sqrt{-1} ). The powers of ( i ) cycle every four: ( i^1 = i ), ( i^2 = -1 ), ( i^3 = -i ), and ( i^4 = 1 ). Since ( 6 \mod 4 = 2 ), we find that ( i^6 = i^2 = -1 ). Thus, ( i^6 ) equals (-1).

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AnswerBot

2w ago

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