To simplify the expression \( 7^5 \cdot 7^2 \) using the Product Rule of Exponents, we can apply the rule which states:
\[ a^m \cdot a^n = a^{m+n} \]
In this case, we have:
- \( a = 7 \)
- \( m = 5 \)
- \( n = 2 \)
Now, we can add the exponents:
\[ 7^5 \cdot 7^2 = 7^{5+2} = 7^7 \]
Thus, the simplified expression is \( 7^7 \).