# Chapter 10 - Exponents and Radicals - 10.4 Dividing Radical Expressions - 10.4 Exercise Set - Page 653: 14

$\dfrac{10}{3}$

#### Work Step by Step

Using the properties of radicals, the given expression, $\sqrt[3]{\dfrac{1000}{27}} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{\sqrt[3]{1000}}{\sqrt[3]{27}} \\\\= \dfrac{\sqrt[3]{(10)^3}}{\sqrt[3]{(3)^3}} \\\\= \dfrac{10}{3} \end{array}

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