Final answer:
The term that the nurse should use to describe this client's cultural development is multiculturalism.
Step-by-step explanation:
The term that the nurse should use to describe this client's cultural development is multiculturalism. Multiculturalism refers to the coexistence and appreciation of multiple cultures within a society, including the incorporation and understanding of different cultural traditions, foods, and customs. In the case of this client, their exposure and familiarity with both African American and Asian American cultures contribute to their multicultural development.