Subjects algebra

Simplify Exponents Fc8314

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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:** $$\frac{m^3}{m^5} = \frac{1}{m^2}$$