1. **State the problem:** Simplify expressions using the Quotient of Powers Property and write answers in rational form. 2. **Recall the Quotient of Powers Property:** For any nonzero base $a$ and integers $m$ and $n$, $$\frac{a^m}{a^n} = a^{m-n}$$ This means when dividing powers with the same base, subtract the exponents. 3. **Important rule:** If the exponent after subtraction is negative, rewrite using the reciprocal to express in rational form: $$a^{-k} = \frac{1}{a^k}$$ 4. **Example simplification:** Suppose the expression is $$\frac{x^5}{x^8}$$ Using the property: $$\frac{x^5}{x^8} = x^{5-8} = x^{-3}$$ Rewrite in rational form: $$x^{-3} = \frac{1}{x^3}$$ 5. **Another example:** $$\frac{y^2}{y^{-4}}$$ Apply the property: $$\frac{y^2}{y^{-4}} = y^{2 - (-4)} = y^{2+4} = y^6$$ 6. **Summary:** Always subtract exponents when dividing powers with the same base, then rewrite negative exponents as fractions to express answers in rational form. This completes the explanation and simplification using the Quotient of Powers Property.