Answer
$\frac{-24}{x^{2}}$
Work Step by Step
(-6$x^{-4}$)(4$x^{2}$) =
Remove parentheses.
-6$x^{-4}$ $\times$ 4$x^{2}$ =
Groups similar terms.
(-6 $\times$ 4) $\times$ ($x^{-4}$ $\times $$x^{2}$) =
Simplify.
-24 $\times$ $x^{-2}$ =
Recall the following rule: $(\frac{a}{b})^{-x}$ = $\frac{b^{x}}{a^{x}}$. Thus, we obtain:
-24 $\times$ $\frac{1^{2}}{x^{2}}$ = -24 $\times$ $\frac{1}{x^{2}}$ =
$\frac{-24}{x^{2}}$
