Question

What is $i^3$?

Answer 1

Finding the value of $i^3$:

$i^3$can be expressed as follow:

$$\begin{gathered} i^3=i\times i\times i \\ \Rightarrow i^3=i^2\times i \\ \Rightarrow i^3=-1\times i\left[\because i^2=-1\right] \\ \therefore i^3=-i \end{gathered}$$

Thus the value of $i^3$ is$\mathbf{-}\mathbf{1}$.