1. \( \left(4^{2}\right)^{2} \)

To solve \( \left(4^{2}\right)^{2} \), we start by calculating \( 4^{2} \), which is 16. Now, we raise 16 to the power of 2: \( 16^{2} = 256 \). So, \( \left(4^{2}\right)^{2} = 256 \) is the final answer! Exponent rules can be quite fun! When you raise a power to another power, you simply multiply the exponents. In this case, you could also write \( (4^{2})^{2} = 4^{(2 \times 2)} = 4^{4} \). And we know \( 4^{4} = 256 \) as well, confirming our earlier calculation! Keep practicing these exponent rules, and soon you’ll be a pro at math tricks! Remember, a common mistake is to add the exponents instead of multiplying them when dealing with powers of powers. So, always double-check that you’re using the right operation!