Which of the following expressions is equivalent to 3√216/27^1/3 when applying the exponent properties?

To simplify the expression \( \frac{\sqrt[3]{216}}{27^{1/3}} \), we can break it down using the properties of exponents and radicals.

1. **Compute \( 27^{1/3} \)**:
\[
27 = 3^3 \implies 27^{1/3} = 3^{3 \cdot \frac{1}{3}} = 3^1 = 3.
\]

2. **Compute \( \sqrt[3]{216} \)**:
\[
216 = 6^3 \implies \sqrt[3]{216} = 6.
\]
Alternatively,
\[
216 = 2^3 \times 3^3 \implies \sqrt[3]{216} = \sqrt[3]{2^3 \cdot 3^3} = \sqrt[3]{2^3} \cdot \sqrt[3]{3^3} = 2 \cdot 3 = 6.
\]

3. **Now rewrite the original expression**:
\[
\frac{\sqrt[3]{216}}{27^{1/3}} = \frac{6}{3} = 2.
\]

So the answer is \( \boxed{2} \).