What is i to the power of 3?

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.

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