Problem
Which of the following is equivalent to the complex number \( i^{13} \) ?
Solution
Step 1 ：\( i^{13} = i^{4k+r} \)
Step 2 ：\( 13 = 4 \times 3 + 1 \)
Step 3 ：\( i^{13} = i^1 \)
Step 4 ：\( i^{13} = i \)
Step 1 ：\( i^{13} = i^{4k+r} \)
Step 2 ：\( 13 = 4 \times 3 + 1 \)
Step 3 ：\( i^{13} = i^1 \)
Step 4 ：\( i^{13} = i \)
