Question

How do you simplify `\frac { 8\times 10^ { 24} } { 2\times 10^ { 18} }`?

Answer 1

`4xx10^6`

Explanation:

Here we will use the rule of indices that states: `a^m/a^n = a^(m-n)`
[This is really an extension of the rule: `a^mxxa^n = a^(m+n)`
for `-n` replacing `n`]

`(8xx10^24)/(2xx10^18) = 4xx10^(24-18)`

`=4xx10^6`