We need to evaluate the expression $(-2)^4 \div (-2)$.

1. Problem Description

We need to evaluate the expression $(-2)^4 \div (-2)$.

2. Solution Steps

First, we evaluate $(-2)^4$.

$(-2)^4 = (-2) \times (-2) \times (-2) \times (-2) = 16$.

Next, we divide the result by $-2$.

$16 \div (-2) = -8$.

Alternatively, we can write $(-2)$ as $(-2)^1$. Thus we have $(-2)^4 \div (-2)^1$. We can use the following rule for division of exponents:

$\frac{a^m}{a^n} = a^{m-n}$

So, $(-2)^4 \div (-2)^1 = (-2)^{4-1} = (-2)^3 = (-2) \times (-2) \times (-2) = -8$.

3. Final Answer

-8