Final answer:
The binomial scientific name for the African lion is Panthera leo, with the genus name capitalized and the species name in lowercase, both italicized.
Step-by-step explanation:
The correct representation of the binomial scientific name for the African lion is Panthera leo. The first part of the name, Panthera, signifies the genus, while the second part, leo, indicates the specific species within that genus. According to the rules of binomial nomenclature developed by Linnaeus, the genus name is always capitalized and the species name is lowercase. Additionally, when written, the full scientific name is usually italicized to distinguish it from normal text.