To generate the expression \( 3^{14} \) from \( \frac{3^5}{3^{-9}} \), we can apply the following properties of exponents:
- The Property of Negative Exponents states that \( \frac{a^m}{a^n} = a^{m-n} \). This means that dividing by a negative exponent is equivalent to adding its positive counterpart.
- The Product Rule of Exponents is used when multiplying two exponential terms with the same base, which states that \( a^m \cdot a^n = a^{m+n} \). However, this rule isn't directly used in simplifying the expression here.
Starting with \( \frac{3^5}{3^{-9}} \):
- Using the Property of Negative Exponents, convert the denominator: \[ \frac{3^5}{3^{-9}} = 3^{5 - (-9)} = 3^{5 + 9} = 3^{14} \]
Thus, the property used here involves the Property of Negative Exponents primarily.
The correct answer would be: only the Property of Negative Exponents.