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

Let's evaluate and compare the two expressions: 1. **First Expression:** \(\left(8^{2}\right)^{4}\) 2. **Second Expression:** \(\left(8^{4}\right)^{2}\) ### Step-by-Step Evaluation **1. Evaluating \(\left(8^{2}\right)^{4}\):** When you raise a power to another power, you multiply the exponents: \[ \left(8^{2}\right)^{4} = 8^{2 \times 4} = 8^{8} \] **2. Evaluating \(\left(8^{4}\right)^{2}\):** Similarly, multiply the exponents: \[ \left(8^{4}\right)^{2} = 8^{4 \times 2} = 8^{8} \] ### Comparison Both expressions simplify to the same exponent form: \[ \left(8^{2}\right)^{4} = 8^{8} \quad \text{and} \quad \left(8^{4}\right)^{2} = 8^{8} \] **Conclusion:** Both expressions are equal and simplify to \(8^{8}\).