Final answer:
The system of labor control was called the encomienda system, which allowed the exploitation of the Indigenous labor force in Spanish American colonies.
Step-by-step explanation:
The system of labor control that allowed a person to exploit the labor force for a certain period of time was called the encomienda system. This system was implemented by the Spanish government in their American colonies, giving the encomendero (grant holder) the right to demand labor from Indigenous people in exchange for guidance and education.
However, the encomienda system often led to abusive treatment and acts of violence against the Indigenous labor force.
Learn more about encomienda system