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 10056 100 superscript 56 baseline 10015 100 superscript 15 baseline 10,00015

Answer 1

The correct answer is 10015, 100 superscript 15 baseline.

To simplify the expression 1008⋅1007 using the Product Rule of Exponents, we add the exponents when multiplying numbers with the same base.

1008 = 10^3, 1007 = 10^2

Using the Product Rule of Exponents:

1008⋅1007 = (10^3)⋅(10^2) = 10^(3+2) = 10^5 = 10015