Which of the following correctly used the product rule of exponents to simplify the expression 100^8 x 100^7

The correct use of the product rule of exponents to simplify the expression 100^8 x 100^7 is:

100^8 x 100^7 = 100^(8+7) = 100^15

The product rule of exponents states that when multiplying two powers with the same base, you can add their exponents.

Using this rule, we can simplify the expression 100^8 x 100^7 as follows:

100^8 x 100^7 = 100^(8+7)

To simplify further, add the exponents:

100^(8+7) = 100^15

Therefore, the correct simplification using the product rule of exponents is 100^15.