Question

The quotient of 8.4x10^9 and a number n results in 5.6 x 10^27 What is the value of n?

Answer 1

8.4x10^9/n=5.6 x 10^27
so 8.4x10^9/5.6 x 10^27=n
n=1.5x10^-18

Answer 2

`1.5* 10^(-18)`

Explanation:

We have been given that the quotient of
`8.4* 10^9` and a number n results in
`5.6* 10^(27)`

To find the value of n we will write our given information in an equation as:

`(8.4* 10^9)/(n)=5.6* 10^(27)`

`(8.4* 10^9)/(5.6* 10^(27))=n`

Using quotient rule of exponents
`(a^m)/(a^n)=a^(m-n)` we will get,

`(8.4* 10^(9-27))/(5.6)=n`

`(8.4* 10^(-18))/(5.6)=n`

`1.5* 10^(-18)=n`

Therefore, the value of n is
`1.5* 10^(-18)`.