Use the Power Rule of Exponents to create a simplified equivalent expression for (19 to the fourth power) to the ninth power

Answer 1

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

Here, \(m = 4\) and \(n = 9\):

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

So, the simplified equivalent expression is:

\[ 19^{36} \]