Question

Simplfiy plz i need help to simplify this problem with steps would be great thanks in advance

Answer 1

Here's a short explanation. Then I'll show you all the steps.

Think of this as a fraction divided by a fraction.
The middle fraction line is the fraction line of the main fraction.
The numerator of the main fraction is a fraction.
The denominator of the main fraction is a fraction.
To divide a fraction by a fraction, multiply the first fraction by the reciprocal of the second fraction.

Here are the steps, shown one by one.


`((7mn^2)/(20p^3q))/((14n^5)/(5p^5q^3)) =`


`= (7mn^2)/(20p^3q) / (14n^5)/(5p^5q^3)`


`=(7mn^2)/(20p^3q) *(5p^5q^3)/(14n^5)`


`=(7mn^2 * 5p^5q^3)/(20p^3q * 14n^5)`


`=(35mn^2p^5q^3)/(280n^5p^3q)`


`= (mp^2q^2)/(8n^3)`

Answer 2

`((7mn^2)/(20p^3q))/((14n^5)/(5p^5q^3))=(7mn^2)/(20p^3q)\cdot(5p^5q^3)/(14n^5)= (7)/(14)\cdot(5)/(20)\cdot(mn^2p^5q^3)/(p^3qn^5)\\\\=(1)/(2)\cdot(1)/(4)\cdot mn^(2-5)p^(5-3)q^(3-1)=(1)/(8) mn^(-3)p^2q^2=(mp^2q^2)/(8n^3)\\\\\text{Used:}\\\\(a^n)/(a^m)=a^(n-m)\\\\a^(-n)=(1)/(a^n)`