1. **State the problem:** Simplify the expression $$\frac{6}{6^{1/4}}$$. 2. **Recall the exponent rule:** When dividing powers with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$. 3. **Apply the rule:** Here, the base is 6, so $$\frac{6}{6^{1/4}} = 6^{1 - \frac{1}{4}}$$. 4. **Simplify the exponent:** $$1 - \frac{1}{4} = \frac{4}{4} - \frac{1}{4} = \frac{3}{4}$$. 5. **Final simplified form:** $$6^{3/4}$$. **Answer:** The simplified expression is $$6^{3/4}$$, which corresponds to the option 6^(3/4).