In what ways might it be hard to have a uniform law that fits every culture in a multicultural empire?

Multiculturalism

Cultural diversity has been present in societies for a very long time. In Ancient Greece, there were various small regions with different costumes, traditions, dialects and identities, for example, those from Aetolia, Locris, Doris and Epirus. In the Ottoman Empire, Muslims were the majority, but there were also Christians, Jews, pagan Arabs, and other religious groups. In the 21st century, societies remain culturally diverse, with most countries having a mixture of individuals from different races, linguistic backgrounds, religious affiliations, and so forth. Contemporary political theorists have labeled this phenomenon of the coexistence of different cultures in the same geographical space multiculturalism. That is, one of the meanings of multiculturalism is the coexistence of different cultures.

The term ‘multiculturalism’, however, has not been used only to describe a culturally diverse society, but also to refer to a kind of policy that aims at protecting cultural diversity. Although multiculturalism is a phenomenon with a long history and there have been countries historically that did adopt multicultural policies, like the Ottoman Empire, the systematic study of multiculturalism in philosophy has only flourished in the late twentieth century, when it began to receive special attention, especially from liberal philosophers. The philosophers who initially dedicated more time to the topic were mainly Canadian, but in the 21st century it is a widespread topic in contemporary political philosophy. Before multiculturalism became a topic in political philosophy, most literature in this area focused on topics related to the fair redistribution of resources; conversely, the topic of multiculturalism in the realm of political philosophy highlights the idea that cultural identities are also normatively relevant and that policies ought to take these identities into consideration.

To understand the discussion of multiculturalism in contemporary political philosophy, there are four key topics that should be taken into consideration; these are the meaning of the concept of ‘culture’, the meaning of the concept of ‘multiculturalism’, the debate about justice between cultural groups and the discussion regarding the practical implications of multicultural practice.

I don't know if this will help

answer; i believe the correct answer is (8) eight.