First we are going to reesribir the inaginario number: i = root (-1) i = (- 1) ^ (1/2) Then, we have to By properties of exponents: i ^ 3 = i ^ 2 * i Substituting the value of i: i ^ 3 = ((- 1) ^ (1/2)) ^ 2 * i Applying properties of exponents: i ^ 3 = ((- 1) ^ (1/2)) * ((- 1) ^ (1/2)) * i i ^ 3 = ((- 1) ^ ((1/2) + (1/2)) * i i ^ 3 = ((- 1) ^ ((2/2)) * i i ^ 3 = ((- 1) ^ (1) * i i ^ 3 = -1 * i i ^ 3 = - i Answer: D.-i
