Question

Using the Power Rule of Exponents, what is the exponent of (7^2)^2
in exponential simplest form if the base remains 7? Express your answer as a whole number.(1 point)

Answer 1

To simplify \((7^2)^2\) using the Power Rule of Exponents, you multiply the exponents. The Power Rule states that \((a^m)^n = a^{m \cdot n}\).

Here, we have:

\[
(7^2)^2 = 7^{2 \cdot 2} = 7^4
\]

Thus, the exponent in its simplest form, while maintaining the base of 7, is:

\[
\boxed{4}
\]