Answer
$32$
Work Step by Step
Using order of operations, the given expression, $
\dfrac{(5^2-3^2)^2}{2\cdot6-4}
$, evaluates to
\begin{array}{l}
\dfrac{(25-9)^2}{12-4}
\\\\=
\dfrac{(16)^2}{8}
\\\\=
\dfrac{256}{8}
\\\\=
32
.\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 1 - Introduction to Algebraic Expressions - 1.8 Exponential Notation and Order of Operations - 1.8 Exercise Set - Page 66: 60
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