Apply All Exponent Rules Quick Check Which property of exponents was used to generate the equivalent expression \( 3^{14} \) from \( \frac{3^{5}}{3^{-9}} ? \) (1 point) only the Product Rule of Exponents only the Property of Negative Exponents only the Property of Negative Exponents and the Product Rule of Exponents

To simplify the expression \( \frac{3^{5}}{3^{-9}} \), we can use the Quotient Rule of Exponents, which states that \( \frac{a^m}{a^n} = a^{m-n} \). Applying this rule: \[ \frac{3^{5}}{3^{-9}} = 3^{5 - (-9)} = 3^{5 + 9} = 3^{14} \] Thus, the property of exponents used to generate the equivalent expression \( 3^{14} \) from \( \frac{3^{5}}{3^{-9}} \) is the **Quotient Rule of Exponents**. However, since the options provided do not include the Quotient Rule, the correct answer based on the available choices would be: **only the Property of Negative Exponents and the Product Rule of Exponents**. This is because the negative exponent in the denominator can be rewritten as a positive exponent in the numerator, which is a part of the process.