Answer
$(x+3)^{13}$
Work Step by Step
Since $a^x\cdot a^y=a^{x+y}$, then the given expression, $
(x+3)^5(x+3)^{8}
$, simplifies to
\begin{array}{l}\require{cancel}
(x+3)^{5+8}
\\\\=
(x+3)^{13}
.\end{array}
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