## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 4 - Polynomials - 4.2 Negative Exponents and Scientific Notations - 4.2 Exercise Set - Page 244: 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}

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.