Answer
False
$2^3\cdot2^5=2^{8}$
Work Step by Step
$a^m \cdot a^n = a^{m+n}$
Thus, the given statement is false since applying the rule above gives us:
$2^3\cdot2^5=2^{3+5} = 2^8$
Thinking Mathematically (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0321867327
ISBN 13:
978-0-32186-732-2
Chapter 5 - Number Theory and the Real Number System - 5.6 Exponents and Scientific Notation - Concept and Vocabulary Check - Page 319: 6
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