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: 91

Answer

$1.42933 \times 10^{19}$

Work Step by Step

$\frac{1.295643 \times {10^9}}{(3.610\times 10^{-17})(2.511\times 10^{6})}$ First we need to combine out denominator. We multiple the number together and add the exponents. $\frac{1.295643 \times {10^9}}{(9.06471\times 10^{-17}\times 10^{6})}$ $\frac{1.295643 \times {10^9}}{9.06471\times 10^{-11}}$ Next we divide. Remember, when dividing exponent numbers like this we subtract. So it will be 9-(-11). $0.142933 \times \frac{10^9}{10^{-11}} $ $0.142933 \times 10^{20}$ Now for proper scientific notation we need to move the decimal place over 1 point which is -1 to the exponent. Giving us: $1.42933 \times 10^{19}$
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