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

**Answer:**

^@-12^@

**Step by Step Explanation:**

- 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^@ - 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^@