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 - 4.2 Negative Exponents and Scientific Notations - 4.2 Exercise Set: 87

Answer

$\dfrac{5y^{4}z^{10}}{4x^{11}}$

Work Step by Step

Using the laws of exponents, the given expression, $ \dfrac{10x^{-4}yz^7}{8x^7y^{-3}z^{-3}} $, is equivalent to \begin{array}{l}\require{cancel} \dfrac{\cancel{2}\cdot5x^{-4-7}y^{1-(-3)}z^{7-(-3)}}{\cancel{2}\cdot4} \\\\= \dfrac{5x^{-11}y^{4}z^{10}}{4} \\\\= \dfrac{5y^{4}z^{10}}{4x^{11}} .\end{array}
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