1. **State the problem:** Simplify the expression $$\frac{m^9}{m^4}$$. 2. **Recall the rule for division of exponents with the same base:** When dividing powers with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$. 3. **Apply the rule:** $$\frac{m^9}{m^4} = m^{9-4}$$. 4. **Simplify the exponent:** $$m^{9-4} = m^5$$. 5. **Final answer:** The simplified expression is $$m^5$$.