Question

How do you divide `(7.5\times 10^ { 5} ) / ( 2.5\times 10^3)`?

Answer 1

`300`

Explanation:

This can be changed to:

`(7.5/2.5) xx (10^5/10^3)`

The rule for dividing common terms with exponents is:

`color(red)(x^a/x^b = x^(a - b))`

We can now change our problem to:

`3 xx 10^(5-3) -> 3 xx 10^2 -> 3 xx 100 -> 300`