Question
What is a simplified equivalent expression for (19 to the power of 4) to the power of 9
Answers
GPT-4o mini
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 \(19^{36}\).
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 \(19^{36}\).