Question

2.1x10^6

______
7x10^3

answer in standard form
...................10^......

Answer 1

Given:

The expression is:

`(2.1* 10^6)/(7* 10^3)`

To find:

The simplified form of the given expression in standard form.

Solution:

We have,

`(2.1* 10^6)/(7* 10^3)`

It can be written as:

`(2.1* 10^6)/(7* 10^3)=(21* 10^5)/(7* 10^3)`

`(2.1* 10^6)/(7* 10^3)=(21)/(7)* (10^5)/(10^3)`

`(2.1* 10^6)/(7* 10^3)=3* 10^(5-3)`
`[\because (a^m)/(a^n)=a^(m-n)]`

`(2.1* 10^6)/(7* 10^3)=3* 10^2`

Therefore, the required value is
`3* 10^2`.