# Chapter 4 - Polynomials - 4.2 Negative Exponents and Scientific Notations - 4.2 Exercise Set - Page 244: 82

$\dfrac{32d^{15}}{a^{10}b^5}$

#### Work Step by Step

Using the laws of exponents, the given expression, $\left( \dfrac{a^2b}{2d^3} \right)^{-5}$, is equivalent to \begin{array}{l}\require{cancel} \left( \dfrac{2d^3}{a^2b} \right)^{5} \\\\= \dfrac{2^5d^{3(5)}}{a^{2(5)}b^5} \\\\= \dfrac{32d^{15}}{a^{10}b^5} .\end{array}

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