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
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
To find the numerical equivalent of 102 ⋅ 103, we can use the product rule of exponents. The rule states that when multiplying exponential expressions with the same base, you add their exponents.
In this case, we have 102 ⋅ 103. The base is 10, and the exponents are 2 and 3. Therefore, we add the exponents: 2 + 3 = 5.
The numerical equivalent of 102 ⋅ 103 is 10 to the power of 5, which is equivalent to 100,000.
To find the numerical equivalent of 102 ⋅103, we use the rule of exponents known as the product rule.
The product rule states that when multiplying two numbers with the same base, you add the exponents.
In this case, the base is 10 and the exponents are 2 and 3.
So, 102 ⋅ 103 = 10^(2+3) = 10^5 = 100,000.
Therefore, the correct numerical equivalent is 100,000.