Question

How do you multiply `(2 x 10^4)(4.1 x 10^3)`?

Answer 1

Remember the associative rule that allows us to rearrange the order of terms in a multiplication: `axxbxxcxxd = axxcxxbxxd`

and the product rule for exponents:
`b^p xx b^q = b^(p+q)`

So
`(2xx10^4)(4.1xx10^3)`

`=(2xx4.1) xx (10^4xx10^3)`

`= 8,2 xx 10^7`