Question
Product Rule of Exponents Quick Check
3 of 53 of 5 Items
Question
Find the numerical equivalent of 102 ⋅103(1 point)
Responses
1,100
1,100
105
10 superscript 5 baseline
10
10
100,000
Answers
GPT 3.5
To find the numerical equivalent of 102 ⋅ 103, we can use the product rule of exponents which states that when multiplying two numbers with the same base, you keep the base and add the exponents.
In this case, the base is 10 and the exponents are 2 and 3.
So, 102 ⋅ 103 is equal to 10^2 ⋅ 10^3.
Using the product rule of exponents, we add the exponents together: 2 + 3 = 5.
Therefore, the numerical equivalent of 102 ⋅ 103 is 10^5, which can also be written as 100,000.
The correct response is:
100,000
In this case, the base is 10 and the exponents are 2 and 3.
So, 102 ⋅ 103 is equal to 10^2 ⋅ 10^3.
Using the product rule of exponents, we add the exponents together: 2 + 3 = 5.
Therefore, the numerical equivalent of 102 ⋅ 103 is 10^5, which can also be written as 100,000.
The correct response is:
100,000