What is in scientific notation?





So for this, you are solving two separate multiplication problems: 3.1(2.2) and 10^5(10^7)
3.1(2.2) = 6.82
10^5(10^7) = 10^12
Using that information, the solution is 6.82 x 10^12, or the last option.
For this case we have the following multiplication:
[tex] (3.1 * 10 ^ 5) (2.2 * 10 ^ 7)
[/tex]
We can rewrite the expression in the following way:
[tex] (3.1 * 2.2) (10 ^ 5 * 10 ^ 7)
[/tex]
By definition, we have to:
In the multiplication, if we have the same base, the exponents are added.
Therefore, by rewriting the expression we have:
[tex] (3.1 * 2.2) (10 ^ {(5 + 7)})
(6.82) (10 ^ {12})
[/tex]
Answer:
The simplified expression in scientific notation is given by:
[tex](6.82)(10^{12})[/tex]