Answer:
This should be a double displacement reaction that yields a precipitate, making it also a precipitation reaction.
Step-by-step explanation:
The full reaction equation is:
BeCl2(aq) + 2AgNO3(aq) --> Be(NO3)2(aq) + 2AgCl(s)
The two reactants exchange their cations/anions to create two different products, which makes them doubly displaced.
However, AgCl is also a solid (as referenced in the question as a powder). Therefore, it means a precipitate was created in this reaction, thus making it a precipitation reaction.