Question

Use the Power Rule of Exponents to create a simplified equivalent expression for (19^4)^9
(
19
4
)
9
.(1 point)

Answer 1

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

In this case, \(a = 19\), \(m = 4\), and \(n = 9\).

So, we have:

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

Now, we can multiply \(4\) and \(9\):

\[
4 \cdot 9 = 36
\]

Thus, the simplified equivalent expression is:

\[
19^{36}
\]

So, \((19^4)^9 = 19^{36}\).