The correct response is: Conquistadors destroyed the empires, and then Europeans built new settlements.
The Spanish conquistadors, such as Hernán Cortés and Francisco Pizarro, conquered the Aztec and Inca empires in the early 16th century through military force, alliances with rival tribes, and the spread of diseases that devastated the Indigenous populations. Following the conquest, the Spanish established colonies and imposed their culture, religion, and economic systems on the territories. While there were some instances of resistance, the overarching impact was the destruction of these empires and the establishment of European settlements.