Answer
$\dfrac{5y^{4}z^{10}}{4x^{11}}$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{10x^{-4}yz^7}{8x^7y^{-3}z^{-3}}
$, is equivalent to
\begin{array}{l}\require{cancel}
\dfrac{\cancel{2}\cdot5x^{-4-7}y^{1-(-3)}z^{7-(-3)}}{\cancel{2}\cdot4}
\\\\=
\dfrac{5x^{-11}y^{4}z^{10}}{4}
\\\\=
\dfrac{5y^{4}z^{10}}{4x^{11}}
.\end{array}