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

$(t+4)^2$
Using the properties of radicals, the given expression, $\sqrt[3]{(t+4)^5}\sqrt[3]{(t+4)} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[3]{(t+4)^5(t+4)} \\\\= \sqrt[3]{(t+4)^{5+1}} \\\\= \sqrt[3]{(t+4)^{6}} \\\\= \sqrt[3]{\left[ (t+4)^2 \right]^{3}} \\\\= (t+4)^2 \end{array} * Note that it is assumed that no radicands were formed by raising negative numbers to even powers.