What is a simplified equivalent expression for (19 to the power of 4) to the power of 9

1 answer

To simplify \((19^4)^9\), we can use the exponentiation rule \((a^m)^n = a^{m \cdot n}\).

Applying this rule here:

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

Calculating \(4 \cdot 9\):

\[ 4 \cdot 9 = 36 \]

So we have:

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

Therefore, the simplified equivalent expression is \(19^{36}\).