Question

Simplify completely 4 m cubed over 3 m squared n times 9 n squared over 30 m squared n squared.

Answer 1

`(4m ^(3) )/(3m ^(2) n)* (9n ^(2) )/(30m^(2)n^(2) ) = \\ (36m ^(3) n ^(3) )/(90m ^(4)n ^(3) )`
After that 36 and 90 can both be divided by 18 and:
m^3/m^4 = 1/m; n^2/n^3 = 1/n;
... =
`(2)/(5mn)`
Answer: 4 )