Question

How do you simplify `(7.2 times 10^-4)div(1.8times10^3)`?

Answer 1

`4*1/10^7` or `0.0000004`

Explanation:

`(7.2*10^-4)/(1.8*10^3)` can be broken down to `7.2/1.8*10^-4/10^3`. `7.2/1.8` euqals `4`. Now we just need to deal with this awkward-looking fraction. If there is a negative exponent, that means it needs to change position, either from the numerator to the demoninator or vice versa. In this case, we need to bring `10^4` brought down, giving us `1/(10^3*10^4)`. We can simplify this is `1/0^7`.

That gives us `4*1/10^7` or `4*10^-7`. That gives us `0.0000004`.