Final answer:
The trade with Barbados helped South Carolina become prosperous through the establishment of slavery and the export of goods to the Caribbean colonies.
Step-by-step explanation:
The trade with Barbados helped South Carolina become prosperous. Slavery developed quickly in South Carolina because many early migrants came from Barbados, where slavery was well established. The rice planters in South Carolina, who relied on enslaved people for labor, became very wealthy and achieved dominance in the region. The Carolinas also exported rice, indigo, and other goods to the Caribbean colonies in exchange for slaves, contributing to their prosperity.