Answer:
[tex]F(3)=\frac{1}{64}[/tex]
B is correct option.
Step-by-step explanation:
The given function is [tex]F(x)=(\frac{1}{4})^x[/tex]
To find the value of F(3), we substitute x = 3 in the given function
[tex]F(3)=(\frac{1}{4})^3[/tex]
We can rewrite this as
[tex]F(3)=\frac{1\times1\times1}{4\times4\times4}[/tex]
On simplification, we get
[tex]F(3)=\frac{1}{64}[/tex]
Hence, B is correct option.