To simplify the expression \( 13^{10} \cdot 13^{4} \) using the Product Rule of Exponents, you add the exponents of the same base:
\[ 13^{10} \cdot 13^{4} = 13^{10 + 4} = 13^{14}. \]
Thus, the simplified expression is \( 13^{14} \).
The correct response from the options provided is:
1314
13 superscript 14 baseline.