Question

Use the Power Rule of Exponents to create a simplified equivalent expression for (19^4)^9
. Your answer will include exponents.

Answer 1

To simplify the expression \((19^4)^9\) using the Power Rule of Exponents, we apply the rule which states that \((a^m)^n = a^{m \cdot n}\).

So, we can simplify \((19^4)^9\) as follows:

\[
(19^4)^9 = 19^{4 \cdot 9} = 19^{36}
\]

Thus, the simplified equivalent expression is:

\[
19^{36}
\]