# Chapter 7 - Section 7.3 - Simplifying Radical Expressions - Exercise Set: 70

$-\dfrac{4\sqrt[3]{x^2}}{3}$

#### Work Step by Step

Using the properties of radicals, the given expression, $\dfrac{\sqrt[3]{128x^3}}{-3\sqrt[3]{2x}} ,$ simplifies to \begin{array}{l}\require{cancel} -\dfrac{1}{3}\sqrt[3]{\dfrac{128x^3}{2x}} \\\\= -\dfrac{1}{3}\sqrt[3]{64x^2} \\\\= -\dfrac{1}{3}\sqrt[3]{64\cdot x^2} \\\\= -\dfrac{1}{3}\sqrt[3]{(4)^3\cdot x^2} \\\\= -\dfrac{1}{3}\cdot4\sqrt[3]{x^2} \\\\= -\dfrac{4\sqrt[3]{x^2}}{3} .\end{array}

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.