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

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - 4.2 Negative Exponents and Scientific Notations - 4.2 Exercise Set: 134

Answer

$\dfrac{4}{5}$

Work Step by Step

RECALL: (1) $a^0=1, a\ne 0$ (2) $a^{-m} = \dfrac{1}{a^m}$ (3) $a^1 = a$ Use the rules above to obtain: $5^0-5^{-1} \\=1 - \dfrac{1}{5^1} \\=1 - \dfrac{1}{5}$ Since $1=\frac{5}{5}$, the expression above simplifies to: $=\dfrac{5}{5} -\dfrac{1}{5} \\=\dfrac{5-1}{5} \\=\dfrac{4}{5}$
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