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: 93

Answer

$7.4311 \times 10^{-14}$

Work Step by Step

$\frac{(0.0000162)(0.01582)}{(594,621,000)(0.0058)}$ First we need to convert these into scientific notation. $\frac{(1.62 \times 10^{-5})(1.582 \times 10^{-3})}{(5.94,621 \times 10^8)(5.8 \times 10^{-3})}$ Then we multiply the numerators together. Remember when we multiply the exponents we add them together. $\frac{(2.56284 \times 10^{-7})}{(5.94,621 \times 10^8)(5.8 \times 10^{-3})}$ Then we multiply the denominators together. $\frac{(2.56284 \times 10^{-7})}{(34.48802 \times 10^5)}$ $\frac{(2.56284 \times 10^{-7})}{(3.448802 \times 10^6)}$ Then we divide numerator by denominator. With the exponents, remember when dividing we subtract. $0.74311 \times 10^{-13}$ $7.4311 \times 10^{-14}$
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