Respuesta :

Given:

The expression

[tex](4^{-1}\times2^{-1})\times3^{-1}[/tex]

Required:

Find the value.

Explanation:

We will use exponent rule

[tex]a^{-1}=\frac{1}{a}[/tex]

Now,

[tex]\begin{gathered} =(4^{-1}\times2^{-1})\times3^{-1} \\ =(\frac{1}{4}\times\frac{1}{2})\times\frac{1}{3} \\ =\frac{1}{8}\times\frac{1}{3} \\ =\frac{1}{24} \end{gathered}[/tex]

Answer:

[tex]\text{ The value is }\frac{1}{24}.[/tex]