Product Rule of Exponents Quick Check
2 of 52 of 5 Items
Question
Which of the following correctly used the Product Rule of Exponents to simplify the expression 1008⋅1007?(1 point)
Responses
10,00015
10,000 superscript 15 baseline
20015
200 superscript 15 baseline
10015
100 superscript 15 baseline
10056
10056
Find the numerical equivalent of 10^2 ⋅10^3 (1 point)
Responses
10^5
10
100,000
1,100
To simplify the expression 1008⋅1007 using the product rule of exponents, we need to add the exponents. The base 10 remains unchanged, as it is always raised to the power of exponents.
The correct expression using the product rule of exponents is:
10^15.
Therefore, the correct answer is:
10,000^15.
To simplify the expression 1008⋅1007 using the Product Rule of Exponents, we can add the exponents since the base is the same.
The Product Rule of Exponents states that when multiplying two numbers with the same base, you keep the base and add the exponents.
So, for the expression 1008⋅1007, we add the exponents, which gives us 100^(8+7).
Therefore, the correct simplified expression should be 100^15.
Looking at the given responses, the correct answer is: 10,000^15.