Final answer:
Shaggy's 'power level' in the 'Batman meets Scooby-Doo' special is comical and mundane. He demonstrates no superhuman abilities but contributes through humor and accidents, contrasting Batman's heroism.
Step-by-step explanation:
In the context of Scooby-Doo and the crossover special with Batman, Shaggy's power level is primarily comical and non-superhuman. Shaggy Rogers is characterized by his hunger, fear, and loyalty. The crossover special "Batman meets Scooby-Doo" showcases Shaggy, typically, displaying no extraordinary abilities akin to those of Batman; he remains a regular, albeit braver at times, human character. The idea of a 'power level' is not applicable to Shaggy as it would be to traditional superheroes or characters in fighting anime like Dragon Ball Z.
Therefore, Shaggy's 'power level' is his unique ability to inadvertently assist in solving mysteries through comedic accidents or his bottomless appetite distracting villains. For instance, during the special, Shaggy helps uncover clues and unmask villains, but this is more due to luck and slapstick rather than an intentional display of 'power.' The thematic synergy between Batman's calculated heroism and Shaggy's chaotic contributions creates entertainment rather than a showcase of power levels.