Question

How did Constantinople's Church of Hagia Sophia demonstrate how the Byzantine Empire blended with the old Roman Empire?

Answer 1

The way that  Constantinople's Church of Hagia Sophia demonstrate how the Byzantine Empire blended with the old Roman Empire would be: The church combined both Greek and Roman architecture, and became a melting pot where Eastern and Western cultures came together.
This can be seen from the  grand buildings of their church that displayed beautiful harmonization of both eastern and western arts and culture