Answer: Sent explorers to North America to expand Chinese territories
Step-by-step explanation:
The Han dynasty went on for over four centuries and was hugely influential in the progression of China as a people and civilisation. The prosperity brought by the dynasty allowed for people to study arts and sciences and the trade that came through the silk road made the Chinese wealthy.
There were also laws based on the great philosopher, Confucius.
One thing the Han did not do however, was send explorers to North America. Indeed it is unlikely that the Chinese ever went there before the Europeans did.