Question

How do you evaluate `((5.0 g cm ^-3) (520 times 10^-10 cm)^3 (6.022 times 10^23 mol ^-1)) / (104 g mol^ -1)`?

Answer 1

Well you could write it properly first. And I realize the formatting on this board is not wholly intuitive.....

Explanation:

We gots......

`(5.0*g*cm^-3xx(520xx10^-10*cm)^3xx6.022xx10^23*mol^-1)/(104*g*mol^-1)`

And then we cancel out the units to get a dimensionless answer....

`(5.0*cancel(g*cm^-3)xx520^3xx10^-30*cancel(cm^3)xx6.022xx10^23*cancel(mol^-1))/(104*cancel(g*mol^-1))`

`~=4`

Did I get it right? All care taken but no responsibility admitted.