Evaluate (6/x)³: Complete the Cube of a Fraction Expression

Insert the corresponding expression:

$\left(\frac{6}{x}\right)^3=$

To solve this problem, we will rewrite the expression $\left(\frac{6}{x}\right)^3$ using the power of a fraction rule. The steps are as follows:

• Identify the fraction's numerator $6$ and denominator $x$.

• According to the power of a fraction rule, apply the power 3 to both the numerator and the denominator:

• $\left(\frac{6}{x}\right)^3 = \frac{6^3}{x^3}$.

Therefore, the expression is correctly written as $\frac{6^3}{x^3}$.

Comparing with the provided answer choices, the correct choice is choice $2$:

$\frac{6^3}{x^3}$