Answer
$a-b$
Work Step by Step
Using $\dfrac{a^x}{a^y}=a^{x-y}$, then the expression, $
\dfrac{(a-b)^{4}}{(a-b)^3}
$, simplifies to
\begin{array}{l}\require{cancel}
(a-b)^{4-3}
\\\\=
(a-b)^{1}
\\\\=
a-b
.\end{array}
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