Answer
$-32$
Work Step by Step
The product of two numbers with the different signs can be found by performing the following steps:
(1) Multiply their absolute values.
$|-4| \cdot |8| = 4 \cdot 8 = 32$
(2) The product is negative.
$-4(8) = -32$
Thus, the product of the given numbers is $-32$.