Which of the following expressions is equivalent to (\root(3)(216))/(27^((1)/(3))) when applying the exponent properties?

To simplify the expression \(\frac{\sqrt[3]{216}}{27^{\frac{1}{3}}}\), we can start by rewriting each part using exponent properties.

First, we can rewrite \( \sqrt[3]{216} \) and \( 27^{\frac{1}{3}} \):

1. **Calculating \(\sqrt[3]{216}\)**:
\[
216 = 6^3
\]
Therefore,
\[
\sqrt[3]{216} = \sqrt[3]{6^3} = 6.
\]

2. **Calculating \(27^{\frac{1}{3}}\)**:
\[
27 = 3^3
\]
Thus,
\[
27^{\frac{1}{3}} = \sqrt[3]{27} = \sqrt[3]{3^3} = 3.
\]

Putting it all together:
\[
\frac{\sqrt[3]{216}}{27^{\frac{1}{3}}} = \frac{6}{3} = 2.
\]

Thus, the expression \(\frac{\sqrt[3]{216}}{27^{\frac{1}{3}}}\) simplifies to \(2\).

The equivalent answer is:
\[
\boxed{2}.
\]