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

10,00015
10,000 superscript 15 baseline

10056
100 superscript 56 baseline

10015

1 answer

1008⋅1007 can be simplified using the Product Rule of Exponents as follows:

1008⋅1007 = (10^3 * 2^4)*(10^3 * 7)

Using the Product Rule of Exponents, we can add the exponents when multiplying powers of the same base:

= 10^(3+3) * 2^4 * 7

= 10^6 * 2^4 * 7

Therefore, the correct simplified expression is 10^6⋅2^4⋅7.