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To simplify the expression \(\frac{\sqrt[3]{216}}{27^{\frac{1}{3}}}\), we can use exponent properties.
First, let's simplify the components:
1. **Calculate \(\sqrt[3]{216}\)**:
\[
216 = 6^3 \Rightarrow \sqrt[3]{216} = 6
\]
2. **Calculate \(27^{\frac{1}{3}}\)**:
\[
27 = 3^3 \Rightarrow 27^{\frac{1}{3}} = 3
\]
Now, substitute these results back into the expression:
\[
\frac{\sqrt[3]{216}}{27^{\frac{1}{3}}} = \frac{6}{3} = 2
\]
Thus, the expression \(\frac{\sqrt[3]{216}}{27^{\frac{1}{3}}}\) simplifies to \(2\).
The correct response is:
\[
\text{2}
\]