ANSWER
Option A
EXPLANATION
The given product is
[tex]1.42 \times {10}^{7} \times 2.81 \times {10}^{1} [/tex]
[tex]1.42 \times 2.81 \times {10}^{7} \times {10}^{1} [/tex]
We multiply to get;
[tex]3.9902 \times {10}^{7} \times {10}^{1} [/tex]
Recall the product rule
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
We apply the product rule to get,
[tex]3.9902 \times {10}^{7 + 1} [/tex]
[tex]3.9902 \times {10}^{8} [/tex]
Correct to the nearest tenth, we have
[tex]3.99 \times {10}^{8} [/tex]
This can also be written as;
[tex]3.99 {e}^{8.00} [/tex]
The correct choice is A.
