if $i = \\sqrt{-1}$, what is the value of $i^{3}$?\n-1\n$i$\n1\n$-i$

if $i = \\sqrt{-1}$, what is the value of $i^{3}$?\n-1\n$i$\n1\n$-i$

if $i = \\sqrt{-1}$, what is the value of $i^{3}$?\n-1\n$i$\n1\n$-i$

Answer

Explanation:

Step1: Recall the definition of $i$

We know that $i = \sqrt{- 1}$, so $i^2=-1$.

Step2: Express $i^3$ in terms of $i^2$ and $i$

$i^3=i^2\times i$.

Step3: Substitute the value of $i^2$

Since $i^2 = - 1$, then $i^3=-1\times i=-i$.

Answer:

$-i$