Final answer:
The Hellenistic Age began with the death of Alexander the Great in 323 BCE, marked by the spread of Greek culture and ended with the Roman victory at the Battle of Actium in 31 BCE.
Step-by-step explanation:
The Hellenistic Age began with the death of Alexander the Great in 323 BCE. This period marked the expansion and spread of Greek culture across the Middle East and into modern-day India, due to Alexander's ambitions and conquests. It followed the classical period of Greece which ended after the Peloponnesian War, and was characterized by new styles of art and architecture, increased trade, and the blending of cultures. The Hellenistic era concluded with the Roman victory at the Battle of Actium in 31 BCE, ushering in Roman hegemony but also blending Greek cultural influences into the Roman Empire.