Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7?(1 point)
Responses
100^56
200^15
100^15
10,000^15
The correct answer is 100^15.
To simplify the expression using the Product Rule of Exponents, we add the exponents when multiplying two powers with the same base:
100^8 * 100^7 = 100^(8+7) = 100^15.
To simplify the expression 100^8 ⋅ 100^7 using the Product Rule of Exponents, we add the exponents together.
So, 100^8 ⋅ 100^7 is equal to 100^(8+7), which simplifies to 100^15.
Therefore, the correct answer is 100^15.