1. **State the problem:** Simplify the expression $$\frac{x^m}{x^n}$$ and express it as a power of $x$. 2. **Recall the exponent rule:** When dividing powers with the same base, subtract the exponents: $$\frac{x^m}{x^n} = x^{m-n}$$ 3. **Apply the rule:** The expression simplifies to $$x^{m-n}$$ 4. **Explanation:** This means you keep the base $x$ and subtract the exponent in the denominator from the exponent in the numerator. **Final answer:** $$\frac{x^m}{x^n} = x^{m-n}$$