Question

Using the Product Rule of Exponents, what is the value of the exponent of 7 to the power of 2⋅7 to the power of
3
in exponential simplest form? (1 point)

Answer 1

To simplify \( 7^2 \cdot 7^3 \) using the Product Rule of Exponents, we use the formula \( a^m \cdot a^n = a^{m+n} \).

Here, we have:

\[
7^2 \cdot 7^3 = 7^{2+3} = 7^5
\]

Thus, in exponential simplest form, the value of the exponent is \( 5 \).