## If i=Square root of -1, what is the value of i^3? A.-1 B.i C.1 D.-i

Question

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## Answers ( No )

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