## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$3b^2\sqrt[3]{a}$
Using the properties of radicals, the given expression, $\sqrt[3]{27ab^6} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[3]{27b^6\cdot a} \\\\= \sqrt[3]{(3b^2)^3\cdot a} \\\\= 3b^2\sqrt[3]{a} \end{array} * Note that it is assumed that no radicands were formed by raising negative numbers to even powers.