Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Section 5.7 - Negative Exponents and Scientific Notation - Exercise Set: 38

Answer

$\dfrac{3}{z^8}$

Work Step by Step

Using the laws of exponents, the given expression, $ \dfrac{45z^4}{15z^{12}} ,$ simplifies to \begin{array}{l}\require{cancel} (45\div15)z^{4-12} \\\\= 3z^{-8} \\\\= \dfrac{3}{z^8} .\end{array}
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