use the product rule of exponents to simplify the expression:

100^8 x 100^7

To simplify the expression 100^8 x 100^7 using the product rule of exponents, we can add the exponents together.

The product rule of exponents states that a^m * a^n = a^(m+n), where "a" is the base and "m" and "n" are the exponents.

So, in this case, we have 100^8 x 100^7 = 100^(8+7).

Therefore, the simplified expression is 100^(15).