The Aztec Empire originated in Mexico in the 15th century, establishing their first capital of Tenochtitlan. The Inca Empire began in Peru around the same time, establishing Cuzco as their capital. Both empires grew powerful through conquest, with the Aztec Empire reaching its height under Moctezuma and the Inca Empire under Pachacuti. However, both empires fell in the 16th century with the arrival of Spanish conquistadors like Cortes and Pizarro, who took the leaders hostage and exploited divisions to conquer the much larger empires.