Which of the following correctly used the Product Rule of Exponents to simplify the expression 1008⋅1007?(1 point)

Responses

20015
200 superscript 15 baseline

10015
100 superscript 15 baseline

10056
100 superscript 56 baseline

10,00015 Which of the following correctly used the Product Rule of Exponents to simplify the expression 1008⋅1007?(1 point)
Responses

20015
200 superscript 15 baseline

10015
100 superscript 15 baseline

10056
100 superscript 56 baseline

10,00015

1 answer

The correct answer is: 100^15.

According to the Product Rule of Exponents, when multiplying two numbers with the same base, you add the exponents. In this case, 1008 can be written as 100^2 and 1007 can be written as 100^1.

So, 1008 * 1007 can be written as (100^2) * (100^1).

Using the Product Rule of Exponents, we add the exponents to get 100^(2+1) = 100^3.

Therefore, the simplified expression is 100^3, which is equal to 10000.

None of the given options are correct.