To simplify the expression \( 7^{14} \times 7^{-5} \), you can use the property of exponents that states \( a^m \times a^n = a^{m+n} \).
Applying this property:
\[ 7^{14} \times 7^{-5} = 7^{14 + (-5)} = 7^{14 - 5} = 7^9 \]
So, the simplified expression is:
\[ 7^9 \]