# Chapter 4 - Polynomials - 4.2 Negative Exponents and Scientific Notations - 4.2 Exercise Set: 62

$-6a^{3}$

#### Work Step by Step

Using the laws of exponents, the given expression, $\dfrac{-12a^{-5}}{2a^{-8}}$, is equivalent to \begin{array}{l}\require{cancel} \dfrac{\cancel{2}\cdot(-6)a^{-5-(-8)}}{\cancel{2}} \\\\= -6a^{-5+8} \\\\= -6a^{3} .\end{array}

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