# How do you multiply #(4 x 10^3)(2 x 10^4)#?

##### 1 Answer

Mar 28, 2018

#### Answer:

#### Explanation:

Whenever we're multiplying numbers expressed in scientific notation, we can separate the expression into two parts:

- The whole number
- The power of
#10#

We have the following:

Which can be rewritten as

To clarify, all I did is separate the whole number from the exponential expression. **We want to deal with the whole numbers separately from the exponents.** That is the key realization here.

Hope this helps!