How do the two active ingredients in ciprofloxacin/dexamethasone ear drops work?

In ciprofloxacin/dexamethasone ear drops, ciprofloxacin kills bacteria by inhibiting DNA gyrase and topoisomerase IV, while dexamethasone reduces inflammation through corticosteroid receptor-mediated increases in anti-inflammatory proteins and suppression of inflammatory genes, although its mechanism is not fully understood.