# Chapter 5 - Exponents and Polynomials - Chapter 5 Test - Page 232: 20

$\frac{-24}{x^{2}}$

#### 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 $\times$ $\frac{1}{x^{2}}$ = $\frac{-24}{x^{2}}$

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