Final answer:
The word 'prestigious' in the passage describes the Barcelona's School of Fine Arts as being respected and admired for its high quality and importance.
Step-by-step explanation:
In the passage, the term prestigious is used to describe Barcelona's School of Fine Arts, which Pablo Picasso attended. The word prestigious refers to something that is respected and admired, often because it has been established as being of high quality or social importance over a long period of time. In this context, it suggests that the School of Fine Arts in Barcelona was well-regarded and honored, highlighting the significant achievement of Picasso being accepted into such an institution at a young age.