Final answer:
The statement that best describes Mongol rule over their vast empire is 'stable and peaceful.' Despite challenges, the Mongols implemented law and order across a huge territory, promoted a peaceful society, and managed internal conflicts efficiently.
Step-by-step explanation:
The Mongol Empire was an unprecedented entity in history due to its vastness and the method of governance employed by the Mongols. Their rule can be best described as stable and peaceful, in the sense that it managed to maintain law and order over a huge area, despite the challenges associated. The Mongol rule, particularly under leaders like Kublai Khan, involved extensive organization, planning, and the establishment of a law code, the yassa, which promoted an inwardly peaceful society. However, there was also the side characterized by continuous struggles along the borders, the difficulty in adhering to new regulations, and the challenges of employing and feeding a large peasant population. Notwithstanding the efforts to prevent rebellion and keep the empire intact, the Mongol rule also saw instances of internal conflict and power struggles, which, however, tended to be mitigated through the leadership's efficient administration.
Despite the military prowess displayed on the open battlefields, Mongol success was partly attributed to their ability to incorporate the technologies and administrative methods of the settled peoples they conquered. This allowed them to not just conquer but also effectively manage and extract wealth from the regions under their control, thus promoting a peaceful exchange of ideas, goods, and techniques across the empire. Ultimately, while the Mongols were capable of brutality, their governance resulted in a period known as the Pax Mongolica, which allowed for stability and peaceful trade throughout Eurasia.