Answer:
B
Step-by-step explanation:
[tex]f(x)=a^x[/tex]
x is the exponent, so [tex]f(b)=a^b \text{ and }f(c)=a^c[/tex].
That makes [tex]f(b) \cdot f(c) =(a^b)(a^c)=a^{b+c}[/tex].
b + c is the exponent, so it takes the place of x.
[tex]a^{b+c}=f(b+c)[/tex]