Evaluate:

$\sqrt[3]{-1331}$

By prime factorisation:

$\sqrt[3]{1331}=\sqrt[3]{11 \times 11 \times 11}$

$\sqrt[3]{-1331}=-(11 \times 11 \times 11)^{\frac{1}{3}}=-11$

$\therefore \sqrt[3]{-1331}=-(\sqrt[3]{1331})=-11$