1. **State the problem:** Simplify the expression $$\sqrt[20]{x^{12}}$$ and match it to one of the given options. 2. **Recall the rule for radicals and exponents:** $$\sqrt[n]{x^m} = x^{\frac{m}{n}}$$. This means the 20th root of $$x^{12}$$ is $$x^{\frac{12}{20}}$$. 3. **Simplify the exponent fraction:** $$\frac{12}{20} = \frac{12 \div 4}{20 \div 4} = \frac{3}{5}$$. 4. **Rewrite the expression:** $$x^{\frac{3}{5}} = \sqrt[5]{x^3}$$. 5. **Match with the options:** The simplified form is $$\sqrt[5]{x^3}$$ which corresponds to option D. **Final answer:** D. $$\sqrt[5]{x^3}$$