Question

Divide.
(4ab/3b^4)/(8a/15b)
Simplify your answer as much as possible!

Answer 1

Answer:
`(5)/(2b^(2))`

Explanation:

1. You must divide the given expression as following:

`((4ab)/(3b^(4)))/((8a)/(15b))=((4ab)(15b))/((3b^(4))(8a))=(60ab^(2))/(24ab^(4))`

2. You must apply the exponents properties. The quotient property of exponents says that you must divide powers with the same base, you must subtract the exponents. Based on this, you have that the result is:

`(5)/(2b^(2))`

Answer 2

`((4ab)/(3b^4) )/((8a)/(15b) )=(5)/(2b^2)`

Explanation:

we are given

`((4ab)/(3b^4) )/((8a)/(15b) )`

we have to simplify it

So, firstly, we will use property of ratio

`((x)/(y) )/((z)/(w) )=(x* w)/(y* z)`

so, we can write our expression as

`((4ab)/(3b^4) )/((8a)/(15b) )=(4ab* 15b)/(3b^4* 8a)`

now, we can cancel common terms

`((4ab)/(3b^4) )/((8a)/(15b) )=(1* 5)/(b^2* 2)`

we can simplify it further

`((4ab)/(3b^4) )/((8a)/(15b) )=(5)/(2b^2)`

so, we get answer as

`((4ab)/(3b^4) )/((8a)/(15b) )=(5)/(2b^2)`