Before the arrival of Spanish conquistadores in the 16th century, the Aztec Empire had almost no vulnerabilities. The Empire was at its peak when Cortes and his men arrived to Mexican shores.
If you mean what brought down the Aztec Empire, such weaknesses included three things: lack of enough technology - horses, gunpowder, iron armors - to repeal the Spanish advance; lack of resistance to smallpox, which decimated the Aztec population and helped Cortes gaining an upper hand against the Aztecs. Finally, the Quetzalcoatl myth, which helped Cortes to become close to Montezuma so he could prepare and implement a sneak attack on the Aztec emperor.
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the spaniards
Some powerful empires that existed around at the same time were the Aztec and Inca Empires. However, the Inca Empire was much larger.
Aztec and Inca
They wanted to capture the empires' gold and resources.
the spanish conqured the Aztec emipre and the incas
There were several weaknesses that were common to all of the Muslim empires. Some of the weaknesses included failure to recognize the power of the people and succession of bad leaders among others.
the spaniards
This question is very broad. There have been many dozens of empires in history and each one of them had different weaknesses.
Some powerful empires that existed around at the same time were the Aztec and Inca Empires. However, the Inca Empire was much larger.
The spanish conquered the Inca and Aztec empires in America.
Spain
Mexico
The Aztec and Mayan empires did.
Aztec and Inca
Spain conquered the Inca and Aztec Empires. By the time of European arrival, the Mayan civilization had imploded four centuries prior.
The Aztec and Maya empires were powerful around the same time as the Inca.
The Aztec and Maya empires were powerful around the same time as the Inca.