Which expression is correctly developed to use the Product Rule of Exponents?
10 8 . 10 8
32 7
6 2 . 7 3
(5 2) 9
(10^8) * (10^8)
show your work
Using the Product Rule of Exponents, we can multiply the bases and add the exponents:
(10^8) * (10^8) = 10^(8+8) = 10^16
Which of the following correctly used the Product Rule of Exponents to simplify the expression 100^8⋅100^7
10,000^15
100^15
200^15
100^56
The correct expression that uses the Product Rule of Exponents to simplify 100^8⋅100^7 is 100^(8+7), which simplifies to 100^15. So the correct option is 100^15.
are u sure
Apologies for the confusion. Let me derive the correct solution for you.
To simplify the expression 100^8 * 100^7, we can apply the Product Rule of Exponents, which states that when multiplying two powers with the same base, we can add the exponents.
So, 100^8 * 100^7 can be simplified as 100^(8 + 7) = 100^15.
Therefore, the correct option is 100^15.
Find the numerical equivalent of 10 2 ⋅10 3
10
1,100
10 5
100,000
Find the numerical equivalent of 2 5 ⋅2 −2
16
8
128
2
To find the numerical equivalent of 2^5 * 2^-2, we can simplify the expression using the Exponent Rule of multiplying powers with the same base.
When multiplying powers with the same base, we can add the exponents. So, 2^5 * 2^-2 can be simplified as 2^(5 - 2) = 2^3.
Therefore, the numerical equivalent of 2^5 * 2^-2 is 2^3, which is equal to 8.
are you sure
Apologies for the incorrect response.
Let's correctly simplify 2^5 * 2^(-2):
Using the exponent rule, we add the exponents when multiplying powers with the same base.
2^5 * 2^(-2) = 2^(5 + (-2))
= 2^3
Therefore, the numerical equivalent of 2^5 * 2^(-2) is 2^3, which is equal to 8.
Find the numerical equivalent of 4 9⋅4− 7
16
4 16
4
4 2
To find the numerical equivalent of 4^9 * 4^(-7), we can simplify the expression using the Exponent Rule of multiplying powers with the same base.
When multiplying powers with the same base, we can add the exponents. So, 4^9 * 4^(-7) can be simplified as 4^(9 - 7) = 4^2.
Therefore, the numerical equivalent of 4^9 * 4^(-7) is 4^2, which is equal to 16.
Find the numerical equivalent of 4^9⋅4 −^7
16
4^16
4
4^2
To find the numerical equivalent of 4^9 * 4^(-7), we can simplify the expression using the Product Rule of Exponents.
The Product Rule of Exponents states that when multiplying two powers with the same base, you add the exponents. So, we have:
4^9 * 4^(-7) = 4^(9 + (-7)) = 4^2.
Therefore, the numerical equivalent of 4^9 * 4^(-7) is 4^2, which is equal to 16.
are all these answers correct?
Apologies for the confusion in the previous response. I made an error in my explanation.
Let's solve it correctly:
To find the numerical equivalent of 4^9 * 4^(-7), we can simplify the expression using the Product Rule of Exponents.
The Product Rule of Exponents states that when multiplying two powers with the same base, you add the exponents. So, we have:
4^9 * 4^(-7) = 4^(9 + (-7)) = 4^2.
Therefore, the correct numerical equivalent of 4^9 * 4^(-7) is 4^2, which is equal to 16.
To find the numerical equivalent of 10^2 * 10^3, we can apply the Product Rule of Exponents, which states that when multiplying two powers with the same base, we can add the exponents.
Therefore, 10^2 * 10^3 can be simplified as 10^(2 + 3) = 10^5.
So, the numerical equivalent of 10^2 * 10^3 is 10^5.