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: 62

Answer

$\dfrac{3x^{3}}{4}$

Work Step by Step

Using the laws of exponents, the given expression, $ \dfrac{3x^3\cdot5x^{14}}{20x^{14}} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{3(5)x^{3+14-14}}{20} \\\\= \dfrac{3(\cancel{5})x^{3}}{\cancel{5}(4)} \\\\= \dfrac{3x^{3}}{4} .\end{array}
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