Final answer:
The ampulla of Vater, or hepatopancreatic ampulla, releases its contents into the duodenum through the structure known as the major duodenal papilla, regulated by the sphincter of Oddi.
Step-by-step explanation:
The ampulla of Vater, medically known as the hepatopancreatic ampulla, empties its contents into the duodenum through the structure called the major duodenal papilla. This integral part of the digestive system is where the bile duct, which carries bile from the liver and gallbladder, and the main pancreatic duct, carrying pancreatic juice from the pancreas, unite and release their secretions into the duodenum. The flow of these digestive juices is regulated by the hepatopancreatic sphincter, also known as the sphincter of Oddi, ensuring the proper digestion and absorption process in the small intestine.