Apply the Quotient of Powers Property to simplify: \( \frac{y^{8}}{y^{3}} \)

To simplify the expression \( \frac{y^{8}}{y^{3}} \) using the **Quotient of Powers Property**, follow these steps: ### **Quotient of Powers Property** The Quotient of Powers Property states that when you divide two expressions with the same base, you can subtract the exponents: \[ \frac{a^{m}}{a^{n}} = a^{m-n} \] ### **Applying the Property** Given the expression: \[ \frac{y^{8}}{y^{3}} \] 1. **Identify the base and the exponents:** - **Base:** \( y \) - **Exponent in the numerator (top):** 8 - **Exponent in the denominator (bottom):** 3 2. **Subtract the exponents:** \[ y^{8-3} = y^{5} \] ### **Simplified Expression** \[ \frac{y^{8}}{y^{3}} = y^{5} \] So, the simplified form of \( \frac{y^{8}}{y^{3}} \) is **\( y^{5} \)**.