Use the Product Rule of Exponents to simplify the expression 7 small5 ⋅ 7 small2

Question

.(1 point)

Answer 1

To simplify the expression \( 7^5 \cdot 7^2 \) using the Product Rule of Exponents, we can apply the rule which states that when multiplying two expressions with the same base, you add their exponents.

Thus, we have:

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

So, the simplified expression is \( 7^7 \).