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