Answer
$\dfrac{3}{z^8}$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{45z^4}{15z^{12}}
,$ simplifies to
\begin{array}{l}\require{cancel}
(45\div15)z^{4-12}
\\\\=
3z^{-8}
\\\\=
\dfrac{3}{z^8}
.\end{array}
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