Question

Find the quotient.
48a 3 bc 2 ÷ 3abc
16a4b2c 3
16a2c
18a2c
16ac2

Answer 1

48a^3 bc^2 / (3abc) = 16a^2c

Answer 2

Answer:
`16a^2c`

Explanation:

Given division problem:
`48a^3bc^2/48a^3bc^2`

It can be written as :

`(48a^3bc^2)/(3abc)`

Since,
`48=3*16`

Divide 3 from numerator and denominator we get,

`(16a^3bc^2)/(abc)`

The division law of exponent says that

`(a^m)/(a^n)=a^(m-n)`

Therefore,
`(16a^3bc^2)/(abc)=16a^(3-1)b^(1-1)c^(2-1)=16a^2b^0c^1=16a^2c`

Hence,
`48a^3bc^2/48a^3bc^2=16a^2c`