Answer
$\sqrt[3] {27\cdot 2}+\sqrt[3] {8\cdot 2}=3\sqrt[3] { 2}+2\sqrt[3] { 2}=5\sqrt[3] { 2}$.
Work Step by Step
The given expression is
$\sqrt[3] {54}+\sqrt[3] {16}$
Factor:
$\sqrt[3] {27\cdot 2}+\sqrt[3] {8\cdot 2}$
Use $\sqrt[3] {a^3}=a$
$3\sqrt[3] { 2}+2\sqrt[3] { 2}$
Simplify.
$5\sqrt[3] { 2}$.