To rewrite the expression \( 14^{-7} - 9^{-13} \) with only positive exponents, we apply the Property of Negative Integer Exponents, which states that \( a^{-n} = \frac{1}{a^n} \).
Applying this property, we get:
\[ 14^{-7} = \frac{1}{14^7} \] and \[ 9^{-13} = \frac{1}{9^{13}}. \]
Thus, the expression \( 14^{-7} - 9^{-13} \) can be rewritten as:
\[ \frac{1}{14^7} - \frac{1}{9^{13}}. \]
This is the equivalent expression with only positive exponents. If you are looking for a single combined fraction, you can also express it as:
\[ \frac{9^{13} - 14^7}{14^7 \cdot 9^{13}}. \]
However, if the question only asks for an expression with only positive exponents, the correct answer is:
\[ \frac{1}{14^7} - \frac{1}{9^{13}}. \]