Final answer:
The Inca controlled their vast empire through an extensive road system, an organized administrative system, and their ability to construct monumental structures.
Step-by-step explanation:
The Inca Empire was able to control an empire that stretched from modern Colombia to southern Chile through various means. One of the most effective means was their extensive road system, which allowed for rapid movement of the highly trained Incan army. The Inca built stepped roads along the steep slopes of the Andes, enabling easy travel for pedestrians, and used a relay system of runners to ensure quick communication over long distances.
Another effective means was their administrative system. The empire was divided into four administrative regions, each controlled by a close relative of the emperor. These regions were then divided into provinces, ruled by an imperial governor. The Inca established regular audits to ensure smooth administration and preserved a measure of local autonomy, respecting and supporting local religions and customs.
Lastly, the Inca's ability to build monumental constructions played a significant role in their control. They built roads, dams, terraces, and irrigation canals, harnessing the land and providing sustenance for the empire. The Incas employed conscript labor for these projects, providing food and housing for the workers. The road network alone covered approximately 40,000 kilometers, facilitating travel and communication throughout the empire.