Question

What is the product of 1.7 × 10−13 and 3.5 × 1025?

1.8 × 1012
2.06 × 1012
3.5 × 1012
5.95 × 1012

Answer 1

`(1.7*10^(-13))*(3.5*10^(25))=(1.7*3.5)(10^(-13)*10^(25))\\\\=5.95*10^(-13+25)=5.95*10^(12)\\\\\\Answer:\boxed{5.95*10^(12)}`

Answer 2

ANSWER


`3.95 * {10}^(12)`

Step-by-step explanation

The first number is


`1.7 * {10}^( - 13)`

The second number is


`3.5 * {10}^(25)`

The product of the above two numbers is

`1.7 * {10}^( - 13) * 3.5 * {10}^(25)`

We regroup the numbers to obtain,


`(1.7 * 3.5) * {10}^( - 13) * {10}^(25)`

We now multiply out the expression in the bracket to obtain,


`3.95 * {10}^( - 13) * {10}^(25)`

Recall also that,


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

We apply this property to obtain,


`3.95 * {10}^( - 13 + 25)`

This finally simplifies to,


`3.95 * {10}^(12)`

Therefore the correct answer is D.