1. **State the problem:** Simplify the expression $$\frac{\frac{1}{x}}{x}$$. 2. **Recall the rule:** Dividing by a number is the same as multiplying by its reciprocal. So, $$\frac{a}{b} = a \times \frac{1}{b}$$. 3. **Apply the rule:** Rewrite the expression as $$\frac{1}{x} \times \frac{1}{x}$$. 4. **Multiply the fractions:** Multiply the numerators and denominators: $$\frac{1 \times 1}{x \times x} = \frac{1}{x^2}$$. 5. **Final answer:** The simplified form is $$\frac{1}{x^2}$$. This means the original complex fraction simplifies to a single fraction with denominator $$x^2$$.