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use the inverse relationship to complete the expression. if $i = \\sqrt…

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 = $
options:
$-i$
$-1$
$1$
$i$

Explanation:

Step1: Substitute known $i^2$ value

We know $i^2 = -1$, substitute into $i^3=(i^2)i$.
$i^3 = (-1) \times i$

Step2: Simplify the expression

Multiply the terms to get the result.
$i^3 = -i$

Answer:

$-i$