Use the Power Rule to create a simplified equivalent expression for (19^4)^9

Question

. 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:

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