The compound verb emphasizes descent undertaken together or in company with others. Classical usage speaks of going down to the sea together, descending in solidarity, or stooping to another's level. The literal sense of physical descent combines with metaphorical notions of condescension or accompanying into difficulty. When Paul appeals to the Judean leaders about his case, he invites those with authority to 'go down together' with him to Caesarea to make their accusations. The compound suggests both the physical journey and the legal solidarity of shared accusation.