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.

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UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \sqrt[3]{-27x^{24}} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\sqrt[3]{-27x^{24}}$$
- step1: Use the properties of radicals:
  $$-\sqrt[3]{27x^{24}}$$
- step2: Simplify the expression:
  $$-3x^{8}$$
The cube root of $$ -27x^{24} $$ is $$ -3x^{8} $$.

Therefore, the correct choice is:
A. $$ \sqrt[3]{-27 x^{24}} = -3x^{8} $$
$$ \sqrt[3]{-27 x^{24}} = -3x^{8} $$

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.

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