Use the Product Rule of Exponents to simplify the expression 24 ⋅22
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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 38 ⋅33
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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.
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.
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.
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
The expression that is correctly developed to use the Product Rule of Exponents is:
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