Question
Show that an intensity of 10−12 W/m210^{-12} \textrm{ W/m}^2 is the same as 10−16 W/cm210^{-16} \textrm{ W/cm}^2.
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OpenStax College Physics for AP® Courses, Chapter 17, Problem 17 (Problems & Exercises)

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Video Transcript
This is College Physics Answers with Shaun Dychko. This question asks us to show that ten to the negative 12 watts per square meter is the same as ten to the minus 16 watts per centimeter. So, we'll convert the units meter squared in the denominator here into centimeter squared by multiplying one meter for every 100 centimeters, and we'll do that multiplication twice. And we end up with one times ten to the minus 6 watts per square meter which is ten to the negative 16 watts per square meter. And there we go.