Find the values of `i^(3401)`

Explanation

To find the value of \( i^{3401} \), we can use the cyclical nature of the powers of the imaginary unit \( i \). The powers of \( i \) follow a specific pattern:

1. \( i^1 = i \)
2. \( i^2 = -1 \)
3. \( i^3 = -i \)
4. \( i^4 = 1 \)

After \( i^4 \), the powers repeat every four terms. Therefore, we can express any power of \( i \) in terms of these four values.
...