Question

1.42 x 107 x 2.81 x 101 = ??

Select one:
a. 3.99 e8.00
b. 0.51 e6.0
c. 3.99 e6.00
d. 0.51 e8.0

Answer 1

Option A

Step-by-step explanation

The given product is

`1.42 * {10}^(7) * 2.81 * {10}^(1)`

`1.42 * 2.81 * {10}^(7) * {10}^(1)`

We multiply to get;

`3.9902 * {10}^(7) * {10}^(1)`

Recall the product rule

`{a}^(m) * {a}^(n) = {a}^(m + n)`

We apply the product rule to get,

`3.9902 * {10}^(7 + 1)`

`3.9902 * {10}^(8)`

Correct to the nearest tenth, we have

`3.99 * {10}^(8)`

This can also be written as;

`3.99 {e}^(8.00)`

The correct choice is A.