Find the cube root. \( \sqrt[3]{-27 x^{24}} \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( \sqrt[3]{-27 x^{24}}=\square \) B. The cube root is not a real number.

The cube root of \(-27 x^{24}\) can be calculated by taking the cube root of each component separately. The cube root of \(-27\) is \(-3\), and the cube root of \(x^{24}\) is \(x^{8}\) since \(24\) divided by \(3\) is \(8\). Thus, we get: \(\sqrt[3]{-27 x^{24}} = -3x^8\). So, the correct choice is A. \( \sqrt[3]{-27 x^{24}} = -3x^8 \).