Is this textbook example incorrect?

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The discussion revolves around a potential error in a textbook example related to unit conversion and calculations. A participant initially calculated a value of 4.5*10^22 /m^3, which later converted to 4.5*10^16 /cm^3, raising questions about missing intermediate steps. Upon reevaluation, the participant realized a mistake in their calculation, specifically a missing negative sign in an exponent. This highlights the importance of careful calculation and attention to detail in physics problems. The conversation emphasizes the need for clarity in textbook examples to avoid confusion.
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Homework Statement



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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

 
Last edited:
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wait, I think I made a mistake on my handheld calc

I used this intead and got
https://defuse.ca/big-number-calculator.htm
(8*3.14*((2*9.11*10^31)^1.5)/(3*(6.625*10^-34)^3))*(1.6*10^-19)^1.5
=4.5 325 569 071 841 6e+ 120
 
Last edited:
nevermind, mr Donald neaman forgot a negative sign in front of the ^31...
 

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