To generate the expression \( 3^{14} \) from \( 3^5 / 3^{-9} \), you would use the following rules of exponents:
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Property of Negative Exponents: This states that \( a^{-n} = \frac{1}{a^n} \). Thus, \( 3^{-9} \) can be rewritten as \( \frac{1}{3^9} \).
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Product Rule of Exponents: This states that \( \frac{a^m}{a^n} = a^{m-n} \). Applying this to \( 3^5 / 3^{-9} \) allows you to combine the exponents:
\[ \frac{3^5}{3^{-9}} = 3^{5 - (-9)} = 3^{5 + 9} = 3^{14}. \]
Therefore, the correct response is:
the Property of Negative Exponents and the Product Rule of Exponents.