Question

How do you write `6(2.2 xx 10^10)` in standard notation?

Answer 1

`6(2.2xx10^10)`

I can think of 2 ways to explain this. I'll explain a second one after I explain this one.

`6(2.2xx10^10)` can be written to clarify the multiplication:

`6(2.2xx10^10)=6xx2.2xx10^10=(6xx2.2)xx10^10`

Use your favorite multiplication method to get `6xx2.2=13.2`

So
`6(2.2xx10^10)=13.2xx10^10`

This answer is the correct number, but it is in neither standard notation nor scientific notation. We should choose one notation or the other. We'll use scientific notation.

`13.2xx10^10=1.32xx10^11`

(`13.2` move the decimal 10 right is the same as 1.32 move 11 to the right.

EDIT
On re-reading, I see that you did ask how to write this in standard notation: `13.2xx10^10=132,000,000,000`

.Second Edit
Using the usual rules for significant figures the answer should be `1.3xx10^11` or
`130,000,000,000`
(Like many mathematicians, I tend to carry more significatn figures than I have a right to.)

Second Description

If you chose to (if it is clearer to you) You could re-write both numbers in scientific notation to start with:

`6(2.2xx10^10)=(6xx10^0)(2.2xx10^10)`

`=(6xx2,2)xx(10^0xx10^10)`

`=13.2 xx 10^(0+10)`

`=13.2xx10^10`

`=1.32xx10^11`

Again keeping the correct significant figures: `1.3xx10^11`.