Question

How do you simplify `(0.10 x 10^5)(4.9 x 10^-2)`?

Answer 1

It is easiest if you multiply the coefficients together and then the exponents (and finally normalize).

`(0.10xx10^5)(4.9xx10^(-2))`

`= (0.10 xx 4.9) (10^5xx10^(-2))`

`= 0.49 xx 10^3`

`= 4.9 xx 10^2`