The effects of Pizarro’s and Cortés’s defeat of Native Americans included the following:
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inspiration for other Europeans to begin explorations and settlement: The successes of Cortés and Pizarro inspired other European powers to explore and colonize the Americas.
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settlement and colonization in the Southwest under Spanish rule: The defeat of Native Americans allowed the Spanish to expand their territories, including the southwestern regions of what is now the United States.
The other options, such as the settlement and colonization of Florida under Spanish rule and fighting between the Spanish and the French, are either too specific or not directly related to the immediate effects of the conquests by Cortés and Pizarro.