Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7 ?
A. 200^15
B. 100^56
C. 100^15
D. 10,000^15
To use the Product Rule of Exponents, we add the exponents when multiplying two exponential expressions with the same base.
In this case, we have 100^8 ⋅ 100^7. Since the bases are the same (100), we can add the exponents (8 and 7) to simplify.
8 + 7 = 15
Therefore, the simplified expression is 100^15.
The correct answer is choice C.