Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7 ?(1 point)

Question

Responses

100^15
100 superscript 15 baseline

10,000^15
10,000 superscript 15 baseline

200^15
200 superscript 15 baseline

100^56
100 superscript 56 baseline

Answer 1

The Product Rule of Exponents states that when you multiply two expressions with the same base, you add the exponents.

In this case, we have:

\(100^8 \cdot 100^7 = 100^{8 + 7} = 100^{15}\).

Therefore, the correct simplification is:

100^15.