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 20015 200 superscript 15 baseline 10,00015

Answer 1

The Product Rule of Exponents states that when you multiply two expressions with the same base, you add their exponents. In this case, we have:

\[ 1008 \cdot 1007 = 100^{8} \cdot 100^{7} \]

According to the Product Rule:

\[ 100^{8} \cdot 100^{7} = 100^{8 + 7} = 100^{15} \]

Therefore, the correct simplification of the expression \(1008 \cdot 1007\) using the Product Rule of Exponents is:

100^{15} (100 superscript 15 baseline).