What does i raised to the power of 3 (i³) equal?

When evaluating (i) raised to the power of 3, it's important to understand the properties of the imaginary unit (i). The imaginary unit is defined such that (i^2 = -1).

To compute (i^3), we can break it down as follows:

1. Start with (i^3), which can be expressed as (i^2 \cdot i).
2. Substitute the value of (i^2): [ i^3 = (-1) \cdot i ]
3. This simplifies to: [ i^3 = -i ]

By following these steps, it becomes clear that when (i) is raised to the power of 3, the result is (-i). This confirms that the answer is indeed correct and demonstrates the application of the fundamental properties of the imaginary unit.

Other options, such as 1, 0, and (i), do not align with the calculations derived from the properties of (i). Thus, they do not represent the correct value of (i^3).