Final answer:
Histoplasma capsulatum is the fungus associated with bat droppings that can cause a respiratory infection if inhaled.
Step-by-step explanation:
The fungus associated with bat droppings that can cause a respiratory infection if inhaled is Histoplasma capsulatum. This fungus grows in soil exposed to bird feces or bat feces and can change forms to survive at different temperatures. When the spores are inhaled, it responds to the high internal temperature of the body by turning into a yeast that can multiply in the lungs, causing the chronic lung disease histoplasmosis.