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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