Answer
$-2\sqrt[3] 2$
Work Step by Step
Step 1: $\sqrt[3] {-16}$
Step 2: $\sqrt[3] {2\times-8}$
Step 3: $\sqrt[3] 2\times\sqrt[3] {-8}$
Step 4: $\sqrt[3] 2\times\sqrt[3] {(-2)^{3}}$
Step 5: $\sqrt[3] 2\times(-2)^{3\times\frac{1}{3}}$
Step 6: $\sqrt[3] 2\times(-2)$
Step 7: $-2\sqrt[3] 2$
