Question
Which of the following correctly used the Product Rule of Exponents to simplify the expression 1008⋅1007?(1 point)
Responses
10015
100 superscript 15 baseline
10056
100 superscript 56 baseline
10,00015
10,000 superscript 15 baseline
20015
20015
To simplify the expression 1008⋅1007 using the Product Rule of Exponents, you need to add the exponents together.
The Product Rule states that a^m * a^n = a^(m+n).
In this case, 1008 can be written as 10^3, and 1007 can be written as 10^3-1.
Therefore, 1008⋅1007 simplifies to 10^(3+3-1) = 10^5.
So, the correct answer is 10015.