Final answer:
The seventh-century Arab armies defeated the Byzantine, Persian, and Visigothic empires in significant battles.
Step-by-step explanation:
The seventh-century Arab armies experienced significant victories against several empires. One of the most notable defeats was the Arab-Muslim victory over the Byzantine army at the Battle of Yarmuk in 636. This led to the abandonment of Greater Syria by the Byzantines. The Arab armies also conquered large parts of the Persian and North African territories, establishing their dominance in the Middle East, North Africa, and the Iberian Peninsula.