Chapter 10 - Exponents and Radicals - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set - Page 647: 40

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

Work Step by Step

Using the properties of radicals, the given expression, $\sqrt[3]{-32a^6} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[3]{-8a^6\cdot4} \\\\= \sqrt[3]{(-2a^2)^3\cdot4} \\\\= -2a^2\sqrt[3]{4} \end{array} * Note that it is assumed that no radicands were formed by raising negative numbers to even powers.

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