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: 65

Answer

$16y^{6}$

Work Step by Step

Using the laws of exponents, the given expression, $ (2y^3)^4y^{-6} ,$ simplifies to \begin{array}{l}\require{cancel} 2^{1(4)}y^{3(4)}y^{-6} \\\\= 2^{4}y^{12}y^{-6} \\\\= 16y^{12+(-6)} \\\\= 16y^{12-6} \\\\= 16y^{6} .\end{array}
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