The problem asks us to evaluate the expression $(-8)^2 \div (-2)^3 \times (-4)^2$.

1. Problem Description

The problem asks us to evaluate the expression $(-8)^2 \div (-2)^3 \times (-4)^2$.

2. Solution Steps

First, we calculate each exponential term.

$(-8)^2 = (-8) \times (-8) = 64$

$(-2)^3 = (-2) \times (-2) \times (-2) = -8$

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

Now, we substitute these values into the expression:

$64 \div (-8) \times 16$

Next, we perform the division:

$64 \div (-8) = -8$

Finally, we perform the multiplication:

$-8 \times 16 = -128$

3. Final Answer

-128