The Babylonian Empire was conquered by the Persian Empire in 539 BCE.
巴比伦帝国于公元前539年被波斯帝国征服。
《柯林斯英汉双解大词典》
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By this time, Mark Antony had palled up with Cleopatra, Queen of Egypt, and Octavian beat both of them, and he became the sole ruler of the empire in 27 BCE.