Question

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

Answer 1

Answer: Our simplified form will be

`(2)/(5mn)`

Explanation:

Since we have given that

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

`(4m^3)/(3m^2n)* (9n^2)/(30m^2n^2)\\\\\text{we will use }a^m* b^n=a^(m+n)\\\\=(4m)/(3n)* (3)/(10m^2)\\\\=(2)/(5mn)`

Hence, our simplified form will be

`(2)/(5mn)`

Answer 2

`(4 m^(3) )/(3 m^(2)n ) * (9 n^(2) )/(30 m^(2) n^(2) ) \\ = (36)/(90) * (m^(3 ))/(m^(4)) * (n^(2))/(n^(3)) \\ = (2)/(5mn)`