Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
and [tex]a^{-1}=\dfrac{1}{a};\ a^{-n}=\dfrac{1}{a^3}[/tex]
[tex]3^{-1}\cdot(4\cdot6)\cdot2^{-3}=\dfrac{1}{3}\cdot24\cdot\dfrac{1}{2^3}=\dfrac{24}{3}\cdot\dfrac{1}{8}=\not8^1\cdot\dfrac{1}{\not8_1}=1[/tex]