Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.6 Exponents and Scientific Notation - Exercise Set 5.6 - Page 322: 143

Answer

The required values are\[0.25,0.\overline{1},0.015625,0.125,0.03125\] and \[0.015625\].

Work Step by Step

Use scientific calculator in a fraction mode for above exercises to obtain: \[\begin{align} & 19.\ {{2}^{-2}}=0.25 \\ & 20.\ {{3}^{-2}}=0.\overline{1} \\ & 21.\ {{4}^{-3}}=0.015625 \\ & 22.\ {{2}^{-3}}=0.125 \end{align}\] And, \[\begin{align} & {{23.2}^{-5}}=0.03125 \\ & {{24.2}^{-6}}=0.015625 \\ \end{align}\] After the use of the fractal mode of calculator, the final answers are exactly matched. Hence, the final answers are correct.
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