1. The problem involves simplifying an expression with $m$ in the denominator, specifically $m^{5/2}$. 2. Recall the rule for exponents: when dividing powers with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$. 3. If the expression is something like $$\frac{1}{m^{5/2}}$$, it can be rewritten as $$m^{-5/2}$$. 4. If the expression is more complex, for example $$\frac{m^a}{m^{5/2}}$$, apply the subtraction rule: $$m^{a - \frac{5}{2}}$$. 5. Always express fractional exponents as roots if needed: $$m^{5/2} = (m^5)^{1/2} = \sqrt{m^5}$$. 6. To simplify, write the expression clearly and subtract exponents step-by-step, showing any cancellations with \cancel{} notation if applicable. 7. Final simplified form depends on the original numerator exponent but follows the rule: $$m^{\text{numerator exponent} - \frac{5}{2}}$$.