Answer
$13$
Work Step by Step
The given expression, $
(13^{-12})^2\cdot13^{25}
$, simplifies to
\begin{array}{l}
13^{-12(2)}\cdot13^{25}
\\\\=
13^{-24}\cdot13^{25}
\\\\=
13^{-24+25}
\\\\=
13^{1}
\\\\=
13
.\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 4 - Polynomials - 4.2 Negative Exponents and Scientific Notations - 4.2 Exercise Set - Page 245: 132
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