#### Answer

$(t+4)^2$

#### Work Step by Step

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.