\( 1 \leftarrow \) Simplify the expression. Write the answer using only positive exponents. \( \frac{9^{5} \cdot 9^{-6}}{9^{-8}} \) \( \frac{9^{5} \cdot 9^{-6}}{9^{-8}}=\square \) (Type exponential notation with positive exponents.)

First, let's simplify the numerator. Using the rule that \( a^{m} \cdot a^{n} = a^{m+n} \), we have: \[ 9^{5} \cdot 9^{-6} = 9^{5 + (-6)} = 9^{-1} \] Now we take our simplified numerator and divide it by the denominator: \[ \frac{9^{-1}}{9^{-8}} = 9^{-1 - (-8)} = 9^{-1 + 8} = 9^{7} \] So, the final answer is: \[ 9^{7} \]