Question

Express the following in the form 10where n is an integer 10−8 × 10−6

Answer 1

Given:

The given expression is:

`10^(-8)* 10^(-6)`

To find:

The expression in the form of
`10^(-n)`.

Solution:

We have,

`10^(-8)* 10^(-6)`

It can be written as

`10^(-8)* 10^(-6)=10^(-8+(-6))`
`[\because a^ma^n=a^(m+n)]`

`10^(-8)* 10^(-6)=10^(-8-6)`

`10^(-8)* 10^(-6)=10^(-14)`

Therefore, the required value is
`10^(-14)`.