Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.2 - Exponents and Radicals - 1.2 Exercises - Page 23: 94

Answer

$\dfrac{(3.542\times10^{-6})^{9}}{(5.05\times10^{4})^{12}}=3.19\times10^{-106}$

Work Step by Step

$\dfrac{(3.542\times10^{-6})^{9}}{(5.05\times10^{4})^{12}}$ Evaluate the powers in the numerator and in the denominator: $\dfrac{(3.542\times10^{-6})^{9}}{(5.05\times10^{4})^{12}}=\dfrac{(3.542)^{9}\times10^{-54}}{(5.05)^{12}\times10^{48}}...$ $...=\dfrac{87747.957\times10^{-54}}{275103767.122\times10^{48}}=...$ Evaluate the division: $...=\Big(\dfrac{87747.957}{275103767.122}\Big)\times10^{-54-48}=0.000319\times10^{-102}=...$ $...=3.19\times10^{-106}$
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