Find the numerical equivalent of 7^2⋅7^3(1 point)
To find the numerical equivalent of 7^2⋅7^3, we can simplify the expression by adding the exponents together. So, 7^2⋅7^3 is equivalent to 7^(2+3), which is equal to 7^5.
To calculate 7^5, we multiply 7 by itself 5 times:
7^5 = 7 × 7 × 7 × 7 × 7 = 16807.
Therefore, the numerical equivalent of 7^2⋅7^3 is 16807.
To find the numerical equivalent of 3^9⋅3^−5, we can simplify the expression by subtracting the exponents.
3^9⋅3^(-5) is equivalent to 3^(9-5), which is equal to 3^4.
To calculate 3^4, we multiply 3 by itself 4 times:
3^4 = 3 × 3 × 3 × 3 = 81.
Therefore, the numerical equivalent of 3^9⋅3^(-5) is 81.
Find the numerical equivalent of 3^9⋅3^−5(1 point)
Which expression is correctly developed to use the Product Rule of Exponents?(1 point)
Responses
10^8⋅10^8
32^7
(5^2)^9
6^2⋅7^3
The expression that is correctly developed to use the Product Rule of Exponents is 6^2⋅7^3.
Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7?(1 point)
Responses
100^15
10,000^15
100^56
200^15
The correct answer is 100^15. When using the Product Rule of Exponents, you add the exponents when you have the same base. In this case, both exponents are 8 and 7. Adding these two exponents together gives us 15. Therefore, 100^8⋅100^7 simplifies to 100^15.
Find the numerical equivalent of 10^2 ⋅10^3(1 point)
Responses
10^5
100,000
100,000
1,100
1,100
10
To find the numerical equivalent of 10^2⋅10^3, we can simplify the expression by adding the exponents together.
10^2⋅10^3 is equivalent to 10^(2+3), which is equal to 10^5.
Therefore, the numerical equivalent of 10^2⋅10^3 is 100,000.