Simplify Exponents Fc8314
1. **State the problem:** Simplify the expression $$\frac{m^3}{m^5}$$ using only positive exponents.
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:**
$$\frac{m^3}{m^5} = m^{3-5} = m^{-2}$$
4. **Rewrite with positive exponents:**
A negative exponent means the reciprocal, so:
$$m^{-2} = \frac{1}{m^2}$$
**Final answer:**
$$\frac{m^3}{m^5} = \frac{1}{m^2}$$