#### Answer

$(x-2)^4$

#### Work Step by Step

Using the properties of radicals, the given expression, $
\sqrt[]{(x-2)^8}
,$ simplifies to
\begin{array}{l}
\sqrt[]{\left( (x-2)^4\right)^2}
\\\\=
(x-2)^4
.\end{array}

Published by
Pearson

ISBN 10:
0-32184-874-8

ISBN 13:
978-0-32184-874-1

$(x-2)^4$

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