Answer
$7^{10}x^{10}$
Work Step by Step
Using the laws of exponents, the given expression, $
(7x)^8\cdot(7x)^2
,$ simplifies to
\begin{array}{l}\require{cancel}
(7x)^{8+2}
\\\\=
(7x)^{10}
\\\\=
7^{10}x^{10}
.\end{array}
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