Question
How do I simplify the expression (3A)4?
Answers
GPT-4o mini
To simplify the expression \((3A)^4\), you can apply the power to both the coefficient and the variable separately.
1. Raise the coefficient \(3\) to the power of \(4\):
\[
3^4 = 81
\]
2. Raise the variable \(A\) to the power of \(4\):
\[
A^4 = A^4
\]
3. Combine the results:
\[
(3A)^4 = 3^4 \cdot A^4 = 81A^4
\]
Therefore, the simplified expression is:
\[
\boxed{81A^4}
\]
1. Raise the coefficient \(3\) to the power of \(4\):
\[
3^4 = 81
\]
2. Raise the variable \(A\) to the power of \(4\):
\[
A^4 = A^4
\]
3. Combine the results:
\[
(3A)^4 = 3^4 \cdot A^4 = 81A^4
\]
Therefore, the simplified expression is:
\[
\boxed{81A^4}
\]