Use the Product Rule of Exponents to simplify the expression 24 ⋅22.(1 point)
The Product Rule of Exponents states that when you multiply two numbers with the same base, you add the exponents.
In this case, we have 24 multiplied by 22.
The base is 2, and the exponents are 4 and 2.
So, applying the Product Rule of Exponents, we add the exponents together:
24 ⋅ 22 = 2^4 ⋅ 2^2
= 2^(4+2)
= 2^6
Therefore, 24 ⋅ 22 simplifies to 2^6.
Use the Product Rule of Exponents to simplify the expression 38 ⋅33.(1 point)
The Product Rule of Exponents states that when you multiply two numbers with the same base, you add the exponents.
In this case, we have 38 multiplied by 33.
The base is 3, and the exponents are 8 and 3.
So, applying the Product Rule of Exponents, we add the exponents together:
38 ⋅ 33 = 3^8 ⋅ 3^3
= 3^(8+3)
= 3^11
Therefore, 38 ⋅ 33 simplifies to 3^11.
Use the Product Rule of Exponents to simplify the expression 75 ⋅72.
The Product Rule of Exponents states that when you multiply two numbers with the same base, you add the exponents.
In this case, we have 75 multiplied by 72.
The base is 7, and the exponents are 5 and 2.
So, applying the Product Rule of Exponents, we add the exponents together:
75 ⋅ 72 = 7^5 ⋅ 7^2
= 7^(5+2)
= 7^7
Therefore, 75 ⋅ 72 simplifies to 7^7.
Find the numerical equivalent of 72⋅73
To find the numerical equivalent of 72⋅73, we simply need to perform the multiplication.
72⋅73 = 5,256
Therefore, the numerical equivalent of 72⋅73 is 5,256.
Which expression is correctly developed to use the Product Rule of Exponents?(1 point)
Responses
62⋅73
6 squared times 7 cubed
108⋅108
10 superscript 8 baseline times 10 superscript 8 baseline
(52)9
left parenthesis 5 squared right parenthesis superscript 9 baseline
327
The correct expression that can be developed to use the Product Rule of Exponents is:
(52)^9
This is because the Product Rule states that when you raise a number to an exponent and then raise that result to another exponent, you multiply the exponents. In this case, we have 52 raised to the exponent of 9, so we can apply the Product Rule and multiply the exponents together.
Which of the following correctly used the Product Rule of Exponents to simplify the expression 1008⋅1007?(1 point)
Responses
10056
100 superscript 56 baseline
20015
200 superscript 15 baseline
10015
100 superscript 15 baseline
10,00015
The correct response that correctly used the Product Rule of Exponents to simplify the expression 1008⋅1007 is:
10015.
This is because when you multiply two numbers with the same base, you add the exponents. In this case, the base is 10 and the exponents are 8 and 7. Thus, we apply the Product Rule of Exponents and add the exponents together: 8 + 7 = 15. Therefore, 1008⋅1007 simplifies to 10^15 or 10015.
Which of the following correctly used the Product Rule of Exponents to simplify the expression 1008⋅1007?(1 point)
Responses
100^56
100 superscript 56 baseline
200^15
200 superscript 15 baseline
100^15
100 superscript 15 baseline
10,000^15
The correct response that correctly uses the Product Rule of Exponents to simplify the expression 1008⋅1007 is:
100^15.
This is because the Product Rule of Exponents states that when you multiply two numbers with the same base, you add the exponents. In this case, the base is 100 and the exponents are 8 and 7. Thus, we apply the Product Rule of Exponents and add the exponents together: 8 + 7 = 15. Therefore, 1008⋅1007 simplifies to 100^15.
Find the numerical equivalent of 102 ⋅103(1 point)
Responses
100,000
100,000
105
10 superscript 5 baseline
1,100
1,100
10
10
To find the numerical equivalent of 102 ⋅ 103, we simply need to perform the multiplication.
102 ⋅ 103 = 1000
Therefore, the numerical equivalent of 102 ⋅ 103 is 1000.
Find the numerical equivalent of 10^2 ⋅10^3(1 point)
Responses
100,000
100,000
10^5
10 superscript 5 baseline
1,100
1,100
10
To find the numerical equivalent of 10^2 ⋅ 10^3, we simply need to apply the Product Rule of Exponents, which states that when you multiply two numbers with the same base, you add the exponents.
In this case, the base is 10, and the exponents are 2 and 3.
Applying the Product Rule of Exponents, we add the exponents together:
10^2 ⋅ 10^3 = 10^(2+3) = 10^5
Therefore, the numerical equivalent of 10^2 ⋅ 10^3 is 10^5.
Find the numerical equivalent of 25 ⋅2−2(1 point)
Responses
128
128
16
16
2
2
8
To find the numerical equivalent of 25 ⋅ 2^(-2), we need to apply the power rule of exponents, which states that when you have a negative exponent, you can move the base to the denominator and change the sign of the exponent.
In this case, we have 2^(-2), which can be rewritten as 1/2^2 or 1/4.
Now, we can multiply the two numbers:
25 ⋅ 1/4 = 25/4 = 6.25
Therefore, the numerical equivalent of 25 ⋅ 2^(-2) is 6.25.
girl thats not even a answer
Apologies for the previous incorrect response.
To find the numerical equivalent of 25 ⋅ 2^(-2), we can simplify the expression step by step.
First, let's look at 2^(-2). A negative exponent means that we can rewrite it as the reciprocal of the positive exponent.
2^(-2) = 1/2^2 = 1/4
Now we can multiply 25 by 1/4:
25 ⋅ 1/4 = 25/4 = 6.25
Therefore, the numerical equivalent of 25 ⋅ 2^(-2) is 6.25.