Final answer:
The Mongol empire influenced Russia through the centralization of power in Moscow, controlling regional trade via the Golden Horde, and impacting military strategies by introducing new tactics.
Step-by-step explanation:
One significant way the Mongol empire influenced Russia was through its political restructuring.
The Mongol rule indirectly led to the centralization of power in the Grand Duchy of Moscow. Under the leadership of Ivan III, known as Ivan the Great, and later his grandson Ivan IV, or Ivan the Terrible, Russia began to consolidate power, refusing to pay tribute to the Mongols and expanding its territory substantially.
Secondly, the Mongol presence in Russia had a profound impact on trade and economics. The Golden Horde controlled the flow of trade between Europe and the east.
Moreover, the Mongols maintained the yam, a relay network that facilitated trade, communication, and taxation, which lasted for centuries and was a major factor in the region's economic prosperity.
Lastly, the Mongols influenced the military strategies and tactics employed by Russian princes. Having observed Mongol military techniques such as their cavalry tactics and siege warfare, Russian rulers incorporated these into their own armies which contributed to their later successes in war and expansion.