Question

use the inverse relationship to complete the expression. if (i = sqrt{-1}), then (i^{2}=-1). complete using laws of exponents, (i^{3}=(i^{2})i). done

Explanation:

Step1: Recall value of $i^2$

We know $i^2=-1$.

Step2: Substitute into $i^3$ expression

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

Answer:

$-i$