Question

what did the rus do that led to the eventual influence of the byzantine empire on russia?
the rus established a strong trading relationship with constantinople.
the rus first invaded and then ruled over constantinople as well as the slavs.
the rus were originally from the area ruled by the byzantine empire.
the rus forced the entire population to convert to the church of the byzantines.

Explanation:

The Rus established a strong trading relationship with Constantinople. This trading connection led to cultural exchanges, including religious (Orthodox Christianity from Byzantium) and architectural influences. The other options are incorrect: the Rus did not rule over Constantinople; they were not originally from the Byzantine - ruled area; and there was no forced conversion of the entire population at the start (Vladimir's conversion was a significant event but not a forced mass conversion at the initial stage of influence).

Answer:

The Rus established a strong trading relationship with Constantinople.