Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.6 Exponents - R.6 Exercises: 11

Answer

$0.00000001$

Work Step by Step

RECALL: (i) $\dfrac{a^m}{a^n} = a^{m-n}$ (ii) $a^{m} \cdot a^{n} = a^{m+n}$ (ii) $a^{-m} = \dfrac{1}{a^m}, a\ne0$ Use rule (ii) above to have: $=\dfrac{10^{8+(-10)}}{10^{4+2}} \\=\dfrac{10^{-2}}{10^{6}}$ Use rule (i) above to have: $=10^{-2-6} \\=10^{-8}$ Use rule (iii) to have: $=\dfrac{1}{10^8} \\=\dfrac{1}{100,000,000} \\=0.00000001$
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