To simplify the expression using the Product Rule of Exponents, we add the exponents when multiplying two numbers with the same base.
In this case, the base is 2.
So, 24 ⋅ 22 = 2^4 ⋅ 2^2
Using the Product Rule of Exponents, we add the exponents:
2^4 ⋅ 2^2 = 2^(4+2) = 2^6
Therefore, 24 ⋅ 22 simplified using the Product Rule of Exponents is 2^6.
Use the Product Rule of Exponents to simplify the expression 24 ⋅22
.
17 answers
Use the Product Rule of Exponents to simplify the expression 38 ⋅33
.
.
To simplify the expression using the Product Rule of Exponents, we add the exponents when multiplying two numbers with the same base.
In this case, the base is 3.
So, 38 ⋅ 33 = 3^8 ⋅ 3^3
Using the Product Rule of Exponents, we add the exponents:
3^8 ⋅ 3^3 = 3^(8+3) = 3^11
Therefore, 38 ⋅ 33 simplified using the Product Rule of Exponents is 3^11.
In this case, the base is 3.
So, 38 ⋅ 33 = 3^8 ⋅ 3^3
Using the Product Rule of Exponents, we add the exponents:
3^8 ⋅ 3^3 = 3^(8+3) = 3^11
Therefore, 38 ⋅ 33 simplified using the Product Rule of Exponents is 3^11.
Use the Product Rule of Exponents to simplify the expression 75 ⋅72
To use the Product Rule of Exponents to simplify the expression 75 ⋅ 72, we need to determine the common base. In this case, the common base is 7.
So, 75 ⋅ 72 = 7^5 ⋅ 7^2.
Using the Product Rule of Exponents, we add the exponents:
7^5 ⋅ 7^2 = 7^(5+2) = 7^7.
Therefore, 75 ⋅ 72 simplified using the Product Rule of Exponents is 7^7.
So, 75 ⋅ 72 = 7^5 ⋅ 7^2.
Using the Product Rule of Exponents, we add the exponents:
7^5 ⋅ 7^2 = 7^(5+2) = 7^7.
Therefore, 75 ⋅ 72 simplified using the Product Rule of Exponents is 7^7.
Find the numerical equivalent of 72⋅
I apologize for the incomplete response in my previous message.
To find the numerical equivalent of 72, we need to specify the exponent. Assuming you meant 72^0, we can evaluate this expression as follows:
72^0 = 1.
Therefore, the numerical equivalent of 72^0 is 1.
To find the numerical equivalent of 72, we need to specify the exponent. Assuming you meant 72^0, we can evaluate this expression as follows:
72^0 = 1.
Therefore, the numerical equivalent of 72^0 is 1.
Which expression is correctly developed to use the Product Rule of Exponents?(1 point)
Responses
62⋅73
6 squared times 7 cubed
(52)9
left parenthesis 5 squared right parenthesis superscript 9 baseline
327
32 superscript 7 baseline
108⋅108
Responses
62⋅73
6 squared times 7 cubed
(52)9
left parenthesis 5 squared right parenthesis superscript 9 baseline
327
32 superscript 7 baseline
108⋅108
The expression that is correctly developed to use the Product Rule of Exponents is:
108⋅108
108⋅108
Which of the following correctly used the Product Rule of Exponents to simplify the expression 1008⋅1007?(1 point)
Responses
20015
200 superscript 15 baseline
10015
100 superscript 15 baseline
10,00015
10,000 superscript 15 baseline
10056
Responses
20015
200 superscript 15 baseline
10015
100 superscript 15 baseline
10,00015
10,000 superscript 15 baseline
10056
To use the Product Rule of Exponents to simplify the expression 1008⋅1007, we need to add the exponents of the common base (10).
The only option that is correctly simplified using the Product Rule of Exponents is:
10015
The only option that is correctly simplified using the Product Rule of Exponents is:
10015
Find the numerical equivalent of 102 ⋅103(1 point)
Responses
1,100
1,100
100,000
100,000
105
10 superscript 5 baseline
10
Responses
1,100
1,100
100,000
100,000
105
10 superscript 5 baseline
10
To find the numerical equivalent of 102 ⋅ 103, we need to multiply the two numbers together.
102 ⋅ 103 = 100 ⋅ 1,000 = 100,000
Therefore, the numerical equivalent of 102 ⋅ 103 is 100,000.
102 ⋅ 103 = 100 ⋅ 1,000 = 100,000
Therefore, the numerical equivalent of 102 ⋅ 103 is 100,000.
Find the numerical equivalent of 25 ⋅2−2(1 point)
Responses
16
16
8
8
128
128
2
Responses
16
16
8
8
128
128
2
To find the numerical equivalent of 25 ⋅ 2^(-2), we need to evaluate the expression.
Recall that a negative exponent means taking the reciprocal of the base raised to the positive exponent.
2^(-2) = 1/2^2 = 1/4
Now we can multiply:
25 ⋅ (1/4) = 25/4 = 6.25
Therefore, the numerical equivalent of 25 ⋅ 2^(-2) is 6.25.
Recall that a negative exponent means taking the reciprocal of the base raised to the positive exponent.
2^(-2) = 1/2^2 = 1/4
Now we can multiply:
25 ⋅ (1/4) = 25/4 = 6.25
Therefore, the numerical equivalent of 25 ⋅ 2^(-2) is 6.25.
Find the numerical equivalent of 49⋅4−7(1 point)
Responses
4
4
42
4 squared
16
16
416
Responses
4
4
42
4 squared
16
16
416
To find the numerical equivalent of 49⋅4^(-7), we need to evaluate the expression.
Recall that a negative exponent means taking the reciprocal of the base raised to the positive exponent.
4^(-7) = 1/4^7 = 1/16384
Now we can multiply:
49⋅(1/16384) = 49/16384 ≈ 0.00299
Therefore, the numerical equivalent of 49⋅4^(-7) is approximately 0.00299.
Recall that a negative exponent means taking the reciprocal of the base raised to the positive exponent.
4^(-7) = 1/4^7 = 1/16384
Now we can multiply:
49⋅(1/16384) = 49/16384 ≈ 0.00299
Therefore, the numerical equivalent of 49⋅4^(-7) is approximately 0.00299.