Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7? Responses 200^15 10,000^15 100^15 100^56

Question

Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7?        Responses 200^15        10,000^15         100^15      100^56

GPT-4o mini · Answer

To simplify the expression $100^8 \cdot 100^7$ using the Product Rule of Exponents, we add the exponents since the bases are the same: $$ 100^8 \cdot 100^7 = 100^{8+7} = 100^{15}. $$ Thus, the correct response is **100^15**.