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

Answer 1

To simplify the expression \( 7^5 \cdot 7^2 \) using the Product Rule of Exponents, you can add the exponents since the bases are the same.

The Product Rule states:

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

Applying this rule:

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

Therefore, the simplified expression is:

\[ \boxed{7^7} \]