The Product Rule of Exponents states that when you multiply two expressions that have the same base, you can add their exponents. The standard form of the Product Rule is:
\[ a^m \cdot a^n = a^{m+n} \]
From the provided options, the expression that can be correctly developed using the Product Rule of Exponents is:
10^8 ⋅ 10^8
Using the Product Rule, this would be simplified as follows:
\[ 10^8 \cdot 10^8 = 10^{8+8} = 10^{16} \]
The other options do not represent expressions that involve the multiplication of the same base.