Use the Product Rule of Exponents to simplify the expression 7^5⋅7^2

To simplify the expression \(7^5 \cdot 7^2\) using the Product Rule of Exponents, we add the exponents because the bases are the same. The Product Rule states that:

\[ a^m \cdot a^n = a^{m+n} \]

Applying this rule to your expression:

\[ 7^5 \cdot 7^2 = 7^{5+2} = 7^7 \]

So, the simplified expression is:

\[ 7^7 \]