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 property of $i$

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

Step2: Express $i^{3}$

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

Step3: Substitute the value of $i^{2}$

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

Answer:

D. $-i$