The correct answer is:
Political Rule: Both societies were ruled by emperors with godlike statuses. Coinage: Both societies used round disks to pay for goods and services. Infrastructure: Both societies had extensive road networks.
Explanation:
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Political Rule: Both the Roman Empire and the Han Dynasty were indeed ruled by emperors who were often considered to have divine qualities or were linked to the divine in the eyes of their subjects.
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Coinage: While both societies used coinage, the statement about them using "round disks" is accurate without the additional specificity regarding materials used (like 'less-precious metals') that didn't convey the general system of coinage itself.
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Infrastructure: Both empires constructed extensive road networks to facilitate trade, transportation, and military movement. This is a fundamental aspect of each empire’s infrastructure.
The other options incorrectly state the nature of the coinage (some mention precious metals wrongly) or misunderstand the elements surrounding infrastructure and political rule.