Question

How to simplify `(2times10^-4) (3times10^2)` in scientific notation?

Answer 1

`(2 xx 10^-4)(3 xx 10^2)`

`=(2)(3) xx 10^-4. 10^2`

`=6 xx 10^-2`

Explanation:

To multiply `2` scientific notations, multiply the `2` initial numbers which are `2` and `3` and add the two exponents of the bases observing its signs (+/-).

The sign of the bigger number will be the exponent's sign to be used in the final answer.