Answer
$\dfrac{8z}{7x}$
Work Step by Step
Cancelling the common factor between the numerator and the denominator, the given expression, $
\dfrac{-56yz}{-49xy}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\cancel{-7y}\cdot8z}{\cancel{-7y}\cdot7x}
\\\\=
\dfrac{8z}{7x}
\end{array}