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: 74

Answer

$50x^{13}$

Work Step by Step

Using $(ab)^x=a^xb^x$, then the expression, $ (5x^3)^2(2x^7) $, simplifies to \begin{array}{l}\require{cancel} (5^2x^{3(2)})(2x^7) \\\\= (25x^{6})(2x^7) .\end{array} Using $a^x\cdot a^y=a^{x+y}$, then the expression, $ (25x^{6})(2x^7) $, simplifies to \begin{array}{l}\require{cancel} 25\cdot2x^{6+7} \\\\= 50x^{13} .\end{array}
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