Question

How do you simplify `((9 x 10^9) x (1.65 x 10^-8) x (5.1 x 10^-8)) / (.555)^2`?

Answer 1

You multiply the numbers, then you add the `10`-powers:

We first work out the part above the division bar:
`(9*10^9)(1.65*10^-8)(5.1*10^-8)=`
`(9*1.65*5.1)(10^9*10^-8*10^-8)=`
`76.58*10^(9-8-8)=76.58*10^-6`

The numerator:
`.555^2=0.308`

And then:
`(76.58//0.308)*10^-6=249*10^-6=`

Move decimal point two to the left, so power goes up (means less negative):

Answer : `2.49*10^-4`