Answer
$-6\sqrt[3] 2$
Work Step by Step
$\sqrt[3] {54}-5\sqrt[3] {16}+\sqrt[3] 2$
=$\sqrt[3] {27\times2}-5\sqrt[3] {8\times2}+\sqrt[3] 2$
=$(\sqrt[3] {27}\times\sqrt[3] 2)-5(\sqrt[3] {8}\times\sqrt[3] 2)+\sqrt[3] 2$
=$(3\times\sqrt[3] 2)-5(2\times\sqrt[3] 2)+\sqrt[3] 2$
=$3\sqrt[3] 2-10\sqrt[3] 2+\sqrt[3] 2$
=$(3-10+1)\sqrt[3] 2$
=$-6\sqrt[3] 2$
