Evaluate the two expressions and compare the answers: \( \left(8^{2}\right)^{4} \) and \( \left(8^{4}\right)^{2} \). Write your answers in exponent form. Part: \( \mathbf{0} / \mathbf{3} \) Part 1 of 3

To evaluate the expressions \( \left(8^{2}\right)^{4} \) and \( \left(8^{4}\right)^{2} \), we can use the power of a power property, which states that \( (a^{m})^{n} = a^{m \cdot n} \). For \( \left(8^{2}\right)^{4} \): \[ \left(8^{2}\right)^{4} = 8^{2 \cdot 4} = 8^{8} \] For \( \left(8^{4}\right)^{2} \): \[ \left(8^{4}\right)^{2} = 8^{4 \cdot 2} = 8^{8} \] Both expressions simplify to \( 8^{8} \). So, the answers are equal!