The statement that is TRUE of the Russian Empire is:
Russian society was highly influenced by the Byzantine Empire and Orthodox Christianity.
The Russian Empire, particularly during its early formation, was significantly shaped by Byzantine culture and the adoption of Orthodox Christianity, especially after the Christianization of Kievan Rus in the 10th century. The other statements are incorrect. The Mongols did have a significant impact on Russian development, but their peak dominance was in the 13th century, not the 1500s. Boyars were not peasants; they were the Russian nobility, and their role was not based on a democratic process to advise the Tsar. Ivan IV, known as Ivan the Terrible, was not characterized as kind and benevolent; rather, he is often noted for his brutal reign and expansionist policies through military conquests.