Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.1 - Exponents and Scientific Notation - Exercise Set: 60

Answer

$-30z^{11}$

Work Step by Step

We are given the expression $-3z^{4}\times10z^{7}$. First, we can group like terms. $(-3\times10)\times(z^{4}\times z^{7})$ Next, we can use the product rule, which holds that $a^{m}\times{a^{n}}=a^{m+n}$ (where a is a real number, and m and n are positive integers). $-30\times(z^{4+7})=-30z^{11}$
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