Answer
$-4\sqrt[3] {10}$
Work Step by Step
Step 1: $\sqrt[3] {-640}$
Step 2: $\sqrt[3] {10\times-64}$
Step 3: $\sqrt[3] {10}\times\sqrt[3] {-64}$
Step 4: $\sqrt[3] {10}\times\sqrt[3] {(-4)^{3}}$
Step 5: $\sqrt[3] {10}\times(-4)^{3\times\frac{1}{3}}$
Step 6: $\sqrt[3] {10}\times(-4)$
Step 7: $-4\sqrt[3] {10}$