To simplify the expression \( 1310 \cdot 134 \) using the Product Rule of Exponents, we can first rewrite the bases with common bases.
The Product Rule of Exponents states that \( a^m \cdot a^n = a^{m+n} \).
Here, \( 1310 \) can be rewritten as \( 13^{10} \) and \( 134 \) can be rewritten as \( 13^4 \). Thus, the expression becomes:
\[ 13^{10} \cdot 13^4 \]
Applying the Product Rule:
\[ 13^{10 + 4} = 13^{14} \]
So, the simplified expression is \( 13^{14} \).
Looking at the provided responses:
- 1314 (which is \( 13^{14} \)) is the correct answer.
Thus, the final answer is:
1314.