To simplify the expression \( \frac{3^5}{3^{-9}} \) and generate the equivalent expression \( 3^{14} \), we can apply the Product Rule of Exponents. The Product Rule states that when you divide like bases, you subtract the exponents:
\[ \frac{a^m}{a^n} = a^{m-n} \]
In this case:
\[ \frac{3^5}{3^{-9}} = 3^{5 - (-9)} = 3^{5 + 9} = 3^{14} \]
Thus, the Property of Negative Exponents is used only in recognizing that \( 3^{-9} \) means \( \frac{1}{3^{9}} \), but the specific simplification here relies on the Product Rule.
Therefore, the correct answer is:
only the Product Rule of Exponents.
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