Is this textbook example incorrect?

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Homework Statement



Capture.jpg


Homework Equations



I got 4.5*10^22 /m^3 using the exact numbers that they used...

which gives 4.5*10^16 /cm^3Is there some intermediate step which was not shown? ie. the numerical answer given by the equation is in some other unit which was converted to /m^3?

The Attempt at a Solution

 
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nevermind, mr Donald neaman forgot a negative sign in front of the ^31...