Using the unit conversion factors, express
(i) 1.54 mm `s^(-1)` in pm `mus^(-1)`
(ii) 2.66 g `cm^(-3)` in `mum^(-3)`

Answer

`(i)1.54xx10^(3)"pm "mus^(-1) (ii)2.66xx10^(-6)mug mum^(-3)`

Explanation

(i) `(1.54mm)/(1s)xx(1cm)/(10mm)xx(1m)/(100cm)xx("1 pm")/(10^(-12)m)xx(10^(-6)s)/(1mus)=1.54xx10^(3)" pm"mus^(-1)`
(ii) `(2.66g)/(1cm^(3))xx(1mug)/(10^(-6)g)xx(100cm)/(1m)xx(100cm)/(1m)xx(100cm)/(1m)xx(10^(-6)m)/(1mum)xx(10^(-6)m)/(1mum)xx(10^(-6)m)/(1mum)=2.66xx10^(-6)mug mum^(-3).`