The idea is that multiple tissue types form organs (ectoderm, mesoderm, endoderm), and the interactions between these tissues affect each other. The mesoderm cells at the location of the beak secrete factors / interact with the ectodermal cells. Most adult tissues have 'adult stem cells' or other undifferentiated cells that are not totipotent or even pluripotent (can form all 3 germ layers) but are oligo/multipotent. It is not necessary to know this to answer the question. In the question, they tell you that the tissue is not differentiated (it has not yet formed a feather). Instead, they place this undifferentiated cell in a different location where feathers do not form; rather, they place it where the beak is formed- and it becomes a beak. Why is this? The mesoderm (or tissue where you place it) interacted with it and altered its differentiation course (eg: in real terms, changed its signaling pathways/ gene expression signature).
The idea is that if you take an undifferentiated tissue/cell, even from an adult organism, and place it in another location, it can be in induced into a different differentiation track.