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: 64

Answer

$x^{7}$

Work Step by Step

Using the laws of exponents, the given expression, $ (x^4)^3\cdot x^{-5} ,$ simplifies to \begin{array}{l}\require{cancel} x^{4(3)}\cdot x^{-5} \\\\= x^{12}\cdot x^{-5} \\\\= x^{12+(-5)} \\\\= x^{12-5} \\\\= x^{7} .\end{array}
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