When we multiply the same base we add their power
[tex]a^m\times a^n=a^{m+n}[/tex]This is the rule that we will use it
[tex]4^{-6}\times4^{-2}=4^{-6+(-2)}=4^{-8}[/tex]You can change the negative power to positive power by reciprocal the number
[tex]4^{-8}=\frac{1}{4^8}[/tex]The answer is the 4th choice