4. how was the practice of christianity different in the byzantine empire different from that in the west?

The Eastern Roman Empire’ capital is Byzantium; initially it was called Constantinople which is present day Istanbul.

Byzantine Empire practiced veneration of King and he is considered to be the representative of God. Byzantines believed that the emperor is vested with all the powers in selecting the popes or Patriarchs of Constantinople.  

This belief that the king is superior to the church created a schism between the Latin Christians who believed that church is the ultimate power. The result of this divided faith led to iconoclastic belief which is against the worship of any human or images as God. Byzantine Empire became so fixed towards this belief which ended the byzantine life by the attacks of Ottoman Turks.