#### Answer

$14\sqrt[3] 2$

#### Work Step by Step

$\sqrt[3] 16+4\sqrt[3] 54=\sqrt[3] (8\times2)+4\sqrt[3] (27\times2)=\sqrt[3] 8\times\sqrt[3] 2+4\times\sqrt[3] 27\times\sqrt[3] 2=2\times\sqrt[3] 2+4\times3\times\sqrt[3] 2=2\sqrt[3] 2+12\sqrt[3] 2=14\sqrt[3] 2$