Use the power rule of exponents to create a simplified equivalent expression for in parentheses 19 power of four outside of the parentheses power of nine what is the correct answer

1 answer

To simplify the expression \((19^4)^9\) using the power rule of exponents, you apply the rule that states \((a^m)^n = a^{m \cdot n}\).

In this case, you have:

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

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

\[ 4 \cdot 9 = 36 \]

Therefore, the simplified expression is:

\[ 19^{36} \]