Math  /  Algebra

QuestionSimplify the powers of ii 9) i19\quad i^{19}

Studdy Solution
Use the remainder to find the equivalent power of i i . Since the remainder is 3, we have:
i19=i3 i^{19} = i^3
From the cycle of powers of i i , we know:
i3=i i^3 = -i
The simplified form of i19 i^{19} is:
i \boxed{-i}

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