Question

Use the Power Rule to create a simplified equivalent expression for (19^4)^9
. Your answer should contain one exponent.(1 point)
(19^4)^9=

Answer 1

To simplify \((19^4)^9\) using the Power Rule, which states that \((a^m)^n = a^{m \cdot n}\), you can multiply the exponents:

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

Now, calculate \(4 \cdot 9\):

\[
4 \cdot 9 = 36
\]

So, the simplified expression is:

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

Thus, the final answer is:

\[
\boxed{19^{36}}
\]