which of the following correctly used the product rule of exponents to simplify the expression 100 to the power of 8 . 100 to the power of 7

Question

200 to the power of 15
100 to the power of 15
10,000 to the power of 15
100 to the power of 56

Answer 1

To simplify \( 100^8 \cdot 100^7 \) using the product rule of exponents, we add the exponents:

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

So the correct expression that correctly applies the product rule of exponents is:

100 to the power of 15.