Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 10 - Section 10.2 - Multiplication Properties of Exponents - Practice - Page 709: 6

Answer

$z^{41}$

Work Step by Step

First use the exponent power rule: ($x^{y}$)$^{z}$=x$^{y\times z}$ $z^{4\times 5}$=$z^{20}$ $z^{3\times 7}$=$z^{21}$ Then use the exponent product rule: $x^{y}$$\times$$x^{z}$=$x^{y+z}$ $z^{20}$$\times$$z^{21}$=$z^{41}$
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