Question

What is (4^2)^3

Answer 1

To solve \((4^2)^3\), you can use the exponentiation rule that states \((a^m)^n = a^{m \cdot n}\).

Here, \(a = 4\), \(m = 2\), and \(n = 3\). Applying the rule:

\[
(4^2)^3 = 4^{2 \cdot 3} = 4^6
\]

Next, calculate \(4^6\):

\[
4^6 = (2^2)^6 = 2^{2 \cdot 6} = 2^{12}
\]

Now calculate \(2^{12}\):

\[
2^{12} = 4096
\]

Therefore, \((4^2)^3 = 4096\).