Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-4 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises: 69

Answer

$5.15$ X $10^{14}$ $m^{2}$

Work Step by Step

Now,Surface area , $area=4\pi r^{2}$ Here, radius, $r=6.4$ X $10^{6}$ $m$ Thus, $area=4$ X $\pi$ X $(6.4$ X $10^{6})^{2}$ $m^{2}$ This becomes : $area=4$ X $\pi$ X $40.96$ X $10^{12}$ $m^{2}$ $area$ $\approx$ $514.457$ X $10^{12}$ $m^{2}$ To represent the area in scientific notation,we shift the decimal point by $2$ places and hence multiply the area by $10^{2}$ Thus, $area$ $\approx$ $5.14457$ X $10^{14}$ $m^{2}$ You can round off the number if required. Rounding off, $area\approx$ $5.15$ X $10^{14}$ $m^{2}$
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