The correct effect of the Three-Fifths Compromise on southern states is that it gave those states more representation in Congress.
This compromise, established during the Constitutional Convention in 1787, allowed southern states to count three-fifths of their enslaved population when apportioning representation in the House of Representatives. As a result, southern states gained increased representation compared to if they had not been able to count enslaved individuals at all, which significantly influenced political power in Congress in favor of the South.