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 - Page 236: 72

Answer

$a^{14}b^{11}$

Work Step by Step

Using $(ab)^x=a^xb^x$, then the expression, $ (a^4b^6)(a^2b)^5 $, simplifies to \begin{array}{l}\require{cancel} (a^4b^6)(a^{2(5)}b^5) \\\\= (a^4b^6)(a^{10}b^5) .\end{array} Using $a^x\cdot a^y=a^{x+y}$, then given expression, $ (a^4b^6)(a^{10}b^5) $, simplifies to \begin{array}{l}\require{cancel} a^{4+10}b^{6+5} \\\\= a^{14}b^{11} .\end{array}
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