Use the Product Rule of Exponents to simplify the expression 75 ⋅72.(1 point)
The Product Rule of Exponents states that when multiplying two exponents with the same base, you add the exponents.
In this case, we have 75 and 72, which both have a base of 7.
So, when we multiply 75 and 72, we add the exponents:
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(1 point)
To find the numerical equivalent of 72⋅73, we simply perform the multiplication:
72⋅73 = 5256
Therefore, the numerical equivalent of 72⋅73 is 5256.
wrong
I apologize for the incorrect response. Let's calculate the correct numerical equivalent of 72⋅73.
72⋅73 = 5256
Therefore, the numerical equivalent of 72⋅73 is indeed 5256.
Find the numerical equivalent of 7^2⋅7^3(1 point)
To find the numerical equivalent of 7^2 ⋅ 7^3, we can apply the rule of exponents, which states that when multiplying two exponents with the same base, we add the exponents.
Therefore, 7^2 ⋅ 7^3 can be simplified as 7^(2+3), which is equal to 7^5.
Using the definition of exponentiation, we know that 7^5 equals 7 * 7 * 7 * 7 * 7 = 16807.
Hence, the numerical equivalent of 7^2 ⋅ 7^3 is 16807.
Which expression is correctly developed to use the Product Rule of Exponents?(1 point)
Responses
(52)9
left parenthesis 5 squared right parenthesis superscript 9 baseline
108⋅108
10 superscript 8 baseline times 10 superscript 8 baseline
62⋅73
6 squared times 7 cubed
327
The correct expression that can be developed to use the Product Rule of Exponents is: 62⋅73 (6 squared times 7 cubed).
Which expression is correctly developed to use the Product Rule of Exponents?(1 point)
Responses
(5^2)9
left parenthesis 5 squared right parenthesis superscript 9 baseline
10^8⋅10^8
10 superscript 8 baseline times 10 superscript 8 baseline
6^2⋅7^3
6 squared times 7 cubed
32^7