Answer
$13 \sqrt[3]{2}$
Work Step by Step
$\sqrt[3]{16}= \sqrt[3]{2^{4}}= \sqrt[3]{2^{3}\cdot 2}=2 \sqrt[3]{2}$
Which we use in the problem as follows:
$4\sqrt[3]{16}+5 \sqrt[3]{2} = 4(2 \sqrt[3]{2})+5 \sqrt[3]{2}$
$=8 \sqrt[3]{2}+5 \sqrt[3]{2}$
= $13 \sqrt[3]{2}$
