The expression i3 refers to the imaginary unit raised to the third power. Recall that i is defined as the square root of -1.
To calculate i3, we can utilize the property of powers of i:
- i1 = i
- i2 = -1
- i3 = i2 * i = -1 * i = -i
- i4 = 1 (and the cycle repeats)
Therefore, the result of i3 is -i.