To simplify the expression \( 1008 \cdot 1007 \) using the Product Rule of Exponents, we start by rewriting \( 1008 \) and \( 1007 \) in terms of powers of 10:
\[ 1008 = 10^8 \quad \text{and} \quad 1007 = 10^7 \]
Now, we can apply the Product Rule of Exponents, which states that \( a^m \cdot a^n = a^{m+n} \):
\[ 10^8 \cdot 10^7 = 10^{8+7} = 10^{15} \]
So, the correct simplification of the expression \( 1008 \cdot 1007 \) is \( 100^{15} \).
Among the provided options, the one that represents this simplification correctly is:
10015 100 superscript 15 baseline.