Answer:
The correct option is C.
Step-by-step explanation:
The given function is
[tex]y=6\cdot 4^x[/tex]
Substitute x=-3 in the given function.
[tex]y=6\cdot 4^{-3}[/tex]
[tex]y=\frac{6}{4^3}[/tex] [tex][\because x^{-1}=\frac{1}{x}][/tex]
[tex]y=\frac{6}{64}[/tex]
Cancel out the common factor.
[tex]y=\frac{3}{32}[/tex]
Therefore the correct option is C.