Question

Calculate 9 ∙ 10-5 divided by 3 ∙ 10-9.

Answer 1

[(9)(10-5)]/[(3)(10-9)]
[(9)(5)]/[(3)(1)]
45/3
15
Hope this helps!

Answer 2

Step-by-step explanation:

In this case, we need to divide two number where

First number,
`n_1=9* 10^(-5)`

Second number,
`n_2=3* 10^(-9)`

`(n_1)/(n_2)=(9* 10^(-5))/(3* 10^(-9))`

We know that, 3 × 3 = 9

So,
`(n_1)/(n_2)=(3* 10^(-5))/(10^(-9))`

Since,
`(a^x)/(a^y)=a^(x-y)`

Also,
`a^x.a^y=a^(x+y)`

Here,
`(10^(-5))/(10^(-9))=a^(-5-(-9))=10^4`

`(n_1)/(n_2)=3* 10^(4)`

So, on dividing two numbers we get
`3* 10^(4)`. Hence, this is the required solution.