Answer:
1/96
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
Then ...
[tex]6^{-1}\cdot 4^{-2}=\dfrac{1}{6}\cdot\dfrac{1}{4^{2}}=\dfrac{1}{6\cdot 16}=\dfrac{1}{96}[/tex]