Final answer:
The Roman Hippodrome is located in the ancient city of Constantinople, known today as Istanbul, which was a major center of the Eastern Roman Empire.
Step-by-step explanation:
The ancient city where the Roman Hippodrome is located is Constantinople. This city, now known as Istanbul, was once the capital of the Eastern Roman Empire. The Hippodrome was a vast arena for chariot races, which could seat over 80,000 spectators.
It was situated near other significant structures like the Baths of Zeuxippus and the Great Palace of the Emperor. The Hippodrome was an integral part of the public life and cultural expression in ancient Constantinople, serving as a hub for entertainment and social gatherings.