Final answer:
The American victory at Cowpens was not one of the few times that Americans won a battle in which the two sides were evenly matched. The Battle of Saratoga was the major turning point in the war.
Step-by-step explanation:
The statement is false. The American victory at Cowpens was a significant turning point in the war, but it was not one of the few times that Americans won a battle in which the two sides were evenly matched. The Battle of Saratoga, which took place in 1777, is generally considered the major turning point in the war. This victory convinced the French to recognize American independence and form a military alliance with the new nation, providing crucial support that changed the course of the war.