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To express \(\sqrt[3]{216}\) using rational exponents, we can write it in the following way:
\[
\sqrt[3]{216} = 216^{1/3}
\]
In this case, \(216\) is raised to the power of \(1/3\), which indicates that the expression is equivalent to the cube root of \(216\).
Thus, the rational exponent on the expression equivalent to \(\sqrt[3]{216}\) is:
\[
\frac{1}{3}
\]
So the correct answer is **\(\frac{1}{3}\)**.