Answer
$8^{17}$
Work Step by Step
Using $x^a \cdot x^b=x^{a+b}$ or the product rule, the given expression, $
8^7\cdot 8^{10}
,$ simplifies to
\begin{array}{l}\require{cancel}
8^{7+10}
\\\\=
8^{17}
.\end{array}
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