1. The problem asks to write the expression $$\sqrt[3]{x^5}$$ as a rational exponent. 2. Recall the rule that a radical expression $$\sqrt[n]{x^m}$$ can be written as $$x^{\frac{m}{n}}$$. 3. Applying this rule, $$\sqrt[3]{x^5} = x^{\frac{5}{3}}$$. 4. Therefore, the correct expression for $$\sqrt[3]{x^5}$$ is $$x^{\frac{5}{3}}$$. This means the answer is the option $$x^{5/3}$$.