Final answer:
Polymyxins primarily exert their antibacterial effect by interfering with cytoplasmic membrane function.
Step-by-step explanation:
Polymyxins primarily exert their antibacterial effect by interfering with cytoplasmic membrane function. They have detergent-like properties and interact with the lipopolysaccharide component of the outer membrane of gram-negative bacteria, disrupting both their outer and inner membranes and ultimately killing the bacterial cells. Unfortunately, this membrane-targeting mechanism is not selective, so polymyxins can also target and damage the membrane of cells in the kidney and nervous system.