Final answer:
The four types of tattoos or branding prohibited on a soldier's body are offensive, gang, extremist, and indecent symbols as they can compromise military professionalism and discipline.
Step-by-step explanation:
The four types of tattoos or branding that are prohibited anywhere on a soldier's body are: offensive symbols, gang symbols, extremist symbols, and indecent symbols. These forms of body art are considered inappropriate for members of the military due to their potential to harm the integrity and appearance of military personnel, as well as the potential for these symbols to be associated with conduct that is prejudicial to good order and discipline within the military ranks.
Tattooing, while a form of personal expression and identity, must align with the professional standards set forth by military regulations. While tattooing is widely practiced by cultures around the world to express both personal and group identity, within the context of the military, there are strict guidelines that must be followed to maintain professionalism and discipline.