### Find the value of $\sqrt[3]{ -1728}$ .

$-12$
1. Let's first find all prime factors of $1728$.
$1728 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3$
2. Now, $\sqrt[3]{ -1728}$
$= -1 × \sqrt[3]{ 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 } \\ = -1 × \sqrt[3]{ 2^3 \times 2^3 \times 3^3 } \\ = -1 × 2 × 2 × 3 \\ = -12$