Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

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: 32

Answer

$a^{7}b^{5}$

Work Step by Step

Using $(ab)^x=a^xb^x$, then the given expression, $ (a^3b)(ab)^4 $, simplifies to \begin{array}{l}\require{cancel} (a^3b)(a^4b^4) .\end{array} Using $a^x\cdot a^y=a^{x+y}$, then given expression, $ (a^3b)(a^4b^4) $, simplifies to \begin{array}{l}\require{cancel} a^{3+4}b^{1+4} \\\\= a^{7}b^{5} .\end{array}
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