Respuesta :

Answer:

-i

Step-by-step explanation:

Our number is i = √-1, and we want to find i³, which is essentially just i * i * i, so:

i³ = i * i * i = √-1 * √-1 * √-1 = -1 * √-1 = -1 * i = -i

The answer is -i.

The value of [tex]i^3 \ is \ i[/tex]

Given the complex value

[tex]i=\sqrt{-1}[/tex]

We are to look for i³

From the expression above:

[tex]i^2 = -1[/tex]

Hence;

[tex]i^3 = i^2 \times i\\i^3 = -1 \times i\\i^3 = -1[/tex]

Hence the value of [tex]i^3 \ is \ i[/tex]

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