To rewrite the expression \( 14^{-7} / 9^{-13} \) with only positive exponents, we can use the property of negative exponents, which states that \( a^{-n} = \frac{1}{a^n} \).
Starting with the expression:
\[ \frac{14^{-7}}{9^{-13}} \]
We can rewrite this using the property of negative exponents:
\[ \frac{14^{-7}}{9^{-13}} = \frac{1}{14^7} \cdot \frac{1}{\frac{1}{9^{13}}} = \frac{1}{14^7} \cdot 9^{13} \]
This simplifies to:
\[ \frac{9^{13}}{14^7} \]
This expression has only positive exponents. Therefore, the equivalent expression to \( 14^{-7} / 9^{-13} \) with positive exponents is:
\[ 9^{13} / 14^{7} \]
Among the options provided, this corresponds to:
\[ 9^{13}/14^{7} \]
So the answer is:
9^13/14^7.
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