Question

1. $(4^4)^2$

Explanation:

Step1: Apply exponent power rule

Recall the rule: $(a^m)^n = a^{m \times n}$. For $(4^4)^2$, multiply the exponents.
$4^{4 \times 2}$

Step2: Calculate the product of exponents

Compute $4 \times 2 = 8$, so we get $4^8$.

Step3: Evaluate the power

Calculate $4^8 = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 = 65536$

Answer:

$65536$ (or $4^8$ if leaving in exponential form)