Final answer:
The dominant Mesoamerican state during the Ancient America Classic period was the Maya civilization. This period saw the Maya people at their cultural and technological peak with the creation of numerous city-states characterized by significant advancements in various domains.
Step-by-step explanation:
The Dominant Mesoamerican State in the Ancient America Classic Period
The dominant Mesoamerican state during the Ancient America Classic period, which spanned from approximately 250 to 900 CE, was the Maya civilization. During this era, the Maya experienced a period of great urbanization and construction of magnificent cities and pyramids. This period is marked by the emergence of various city-states such as Tikal, Calakmul, and Palenque, each governed by "divine lords" and featuring advanced developments in architecture, mathematics, and agriculture. The Classic period is especially known for the high level of refinement in cultural, artistic, and technological achievements by the Maya people who built impressive stone structures, perfected a calendar system, and developed a complex written language.
The other Mesoamerican civilizations mentioned, such as the Aztec and the Olmec, either predated or succeeded the period in question, while the Inca civilization was located in South America and not considered part of the Mesoamerican region. Therefore, with respect to the Classic period in Mesoamerica, the Maya stood out as the dominant state.