The expression given as,
[tex](6m^{-1}n^0)^{-3}[/tex]Substitute m equals 3 and n equals -5.
[tex]\lbrace6(3)^{-1}(-5)^0\rbrace^{-3}[/tex][tex]\lbrace6\times\frac{1}{3}\rbrace^{-3}[/tex][tex]2^{-3}[/tex][tex]\frac{1}{8}[/tex]The correct option is c.