Final answer:
The Aztec territory became the Viceroyalty of New Spain, later Mexico City, and faced severe exploitation under Spanish colonial rule. Mexico's independence was a complex process involving internal rebellion and the Treaty of Guadalupe Hidalgo resulted in a significant loss of Mexican territory to the United States.
Step-by-step explanation:
The Aztec territory was claimed by Spain and became known as the Viceroyalty of New Spain, which we now recognize as Mexico City, formerly Tenochtitlan. Under Spanish rule, the indigenous populations faced hardships, including forced labor under the encomienda system and massive losses due to disease and exploitation, especially in the mining industry.
The Treaty of Guadalupe Hidalgo marked a significant event in Mexican history, as the country lost more than half of its territory to the United States, encompassing states that are now California, Arizona, and New Mexico among others. Mexican creoles, Indigenous and mixed-race rebels, led by AgustÃn de Iturbide and Vicente Guerrero, played pivotal roles in Mexico's fight for independence and the establishment of a republic after brief rule by Emperor Iturbide.