Answer
$\dfrac{3}{z^5}$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{30z^5}{10z^{10}}
,$ simplifies to
\begin{array}{l}\require{cancel}
(30\div10)z^{5-10}
\\\\=
3z^{-5}
\\\\=
\dfrac{3}{z^5}
.\end{array}
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