Which of the following correctly used the product rule of exponents to simplify the expression 100 to the 8th power times 100 to the 7th power?

Answer 1

To simplify the expression \(100^8 \times 100^7\) using the product rule of exponents, we apply the rule that states \(a^m \times a^n = a^{m+n}\).

In this case:

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

So the correctly simplified expression is \(100^{15}\).