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

Question

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

0

Answers ( No )

    0
    2021-09-19T07:36:42+00:00

     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

Leave an answer

Browse
Browse