Answer:
The strategy the Spanish settlers used to persuade the Native American leaders to let Native Americans work on Spanish farms.
was:
They gave the native American leaders gifts, and they did not challenge the right of those leaders to govern their people.
Step-by-step explanation:
The reasons for this answer are two. First of all, the Spanish settlers realized the power and the society's structure of the new world were very important for the American culture leaders'. Therefore, they found a very good way to convince them to cooperate with them without representing a threat to them. Therefore, they received the support they wanted.