Answer
$\dfrac{6!}{8!}=\dfrac{1}{56}$
Work Step by Step
Using $n!=n(n-1)(n-2)...(3)(2)(1),$ the value of the given expression, $
\dfrac{6!}{8!}
,$ is
\begin{align*}\require{cancel}
&
\dfrac{6!}{8(7)(6!)}
\\\\&=
\dfrac{\cancel{6!}}{8(7)(\cancel{6!})}
\\\\&=
\dfrac{1}{8(7)}
\\\\&=
\dfrac{1}{56}
.\end{align*}
Hence, $
\dfrac{6!}{8!}=\dfrac{1}{56}
.$
