Question

How to simplify `(3.9times10^8)(8.4times10^-3)` in scientific notation?

Answer 1

`3.276xx10^6`

Explanation:

Given:`" "(3.9xx10^8)(8.4xx10^(-3))`

Write as `" "(3.9xx8.4)xx10^(8-3)`

Which simplifies to:`" "32.76xx10^5`

`color(brown)("But "32.76" is the same value as " 3.276xx10`

So by substitution we have: `""3.276xx10xx10^5`

which is: `" "3.276xx10^6`