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: 39

Answer

$-\dfrac{4}{x^4}$

Work Step by Step

Using the laws of exponents, the given expression, $ \dfrac{-8x^3}{2x^7} ,$ simplifies to \begin{array}{l}\require{cancel} (-8\div2)x^{3-7} \\\\= -4x^{-4} \\\\= \dfrac{-4}{x^4} \\\\= -\dfrac{4}{x^4} .\end{array}
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