We can use the distributive property to multiply the two fractions together. The distributive property states that for any real numbers a, b, and c, we have (a + b) * c = ac + bc. We can apply this property to the fractions 1/2a and -8/3b:
(1/2a) * (-8/3b) = 1/2 * a * (-8/3) * b
= -4/6ab
= -2/3ab
So the product of 1/2a and -8/3b is -2/3ab