Respuesta :

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]