Question

Calculate 9 ∙ 10-5 divided by 3 ∙ 10-9. (Box after the "10" in answer is for the exponent.).

Answer 1

3 × 10⁴

Step-by-step explanation:

We are given two numbers,
`n_1=9* 10^(-5)` and
`n_2=3* 10^(-9)`

We have to divide n₁ by n₂. We know that,

`(10^n)/(10^m)=10^(n-m)`

Here, n = -5 and m = -9

So on dividing we get :

`(9* 10^(-5))/(3* 10^(-9))=3* 10^(-5+9)=3* 10^4`

Hence, on dividing n₁ by n₂ obtained number is 3 × 10⁴.