Problem

Which of the following is equivalent to the complex number \( i^{13} \) ?

Answer

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Answer

\( i^{13} = i \)

Steps

Step 1 ：\( i^{13} = i^{4k+r} \)

Step 2 ：\( 13 = 4 \times 3 + 1 \)

Step 3 ：\( i^{13} = i^1 \)

Step 4 ：\( i^{13} = i \)

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