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}
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 10 - Exponents and Radicals - 10.1 Radical Expressions and Functions - 10.1 Exercise Set - Page 634: 87
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