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In the beginning of this question, the conversion of the surface area to dm units resulted in 1.8 x 1016 dm2. What calculation made it 1016? Did they multiply the exponents? If so, why was the (1000m/1km) squared? I thought this was to get rid of the km2. I am just having trouble understanding the basics of conversions like this. Thank you!

In the beginning of this question, the conversion of the surface area to dm units resulted in 1.8 x 1016 dm2. What calculation made it 1016? Did they multiply the exponents? If so, why was the (1000m/1km) squared? I thought this was to get rid of the km2. I am just having trouble understanding the basics of conversions like this. Thank you!

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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In the beginning of this question, the conversion of the surface area to dm units resulted in 1.8 x 1016 dm2. What calculation made it 1016? Did they multiply the exponents? If so, why was the (1000m/1km) squared? I thought this was to get rid of the km2. I am just having trouble understanding the basics of conversions like this. Thank you!

Expert Solution
Given Data

The conversion of the surface area to dm units resulted in 1.8 x 1016 dm2. 

We know that 

One decimeter measures 10 cm

Since a meter is made up of 100 cm

 

Note: 1.8 x 1016  is  surface area. Here 1016 stands for 10*10*10*.......(16 times)

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