Answer
The difference is 384.
Work Step by Step
We know that the exact value is:
$$2^{14}=16384$$
Using approximations, we find:
$$2^{10}\cdot 2^{4} \\ 10^3\cdot 2^4 \\ 16000$$
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 - 4.1 Exponents and Their Properties - 4.1 Exercise Set - Page 237: 116
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