Simplify the expression.(−2i)(8i)

To multiply imaginary numbers, we can use the property that $i^2=-1$.

Thus, we have:

$$(-2i)(8i) = -16i^2$$

Now, substituting $i^2=-1$, we get:

$$-16i^2 = -16(-1) = 16$$

Therefore, $(-2i)(8i) = \boxed{16}.$