# Chapter 7 - Exponents and Exponential Functions - 7-4 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 69

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

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.