Using the Quotient Rule of Exponents, what is the exponent of 3^9÷3^7 when it is in exponential simplest form?
The Quotient Rule of Exponents states that when you divide two powers with the same base, you subtract the exponents.
Therefore, when simplifying 3^9 ÷ 3^7, we subtract the exponent of the denominator from the exponent of the numerator:
3^9 ÷ 3^7 = 3^(9-7) = 3^2
So, the exponent of 3^9 ÷ 3^7 in exponential simplest form is 2.
Using the Quotient Rule of Exponents, what is an equivalent form of 28÷24 ?(1 point)
Responses
2^12
2^4
2^2
2^32
To find an equivalent form of 28 ÷ 24 using the Quotient Rule of Exponents, we need to express 28 and 24 as powers of the same base.
Let's express both 28 and 24 as powers of 2:
28 = 2^2 * 7
24 = 2^3 * 3
Now, to find the quotient 28 ÷ 24, we subtract the exponents of the same base:
28 ÷ 24 = (2^2 * 7) ÷ (2^3 * 3)
Using the Quotient Rule of Exponents, we subtract the exponents of 2:
= 2^(2-3) * 7 ÷ 3
= 2^(-1) * 7 ÷ 3
= (1/2) * 7/3
= 7/6
So, an equivalent form of 28 ÷ 24 is 7/6.
Using the Quotient Rule of Exponents, what is an equivalent form of 28÷24 ?(1 point)
Responses
2^12
2 superscript 12 baseline
2^4
2 superscript 4 baseline
2^2
2 superscript 4 baseline
2^32
2 superscript 32 baseline
I apologize for the previous error. Let's correct the calculation using the Quotient Rule of Exponents to find an equivalent form of 28 ÷ 24.
To calculate this, we need to express both 28 and 24 as powers of the same base.
28 = 2^2 * 7
24 = 2^3 * 3
Now, using the Quotient Rule of Exponents, we subtract the exponents of the same base:
28 ÷ 24 = (2^2 * 7) ÷ (2^3 * 3)
Subtracting the exponents of 2, we get:
= 2^(2-3) * 7 ÷ (2^3 * 3)
= 2^(-1) * 7 ÷ (2^3 * 3)
= 1/2 * 7 ÷ (2^3 * 3)
= 7/2 ÷ (2^3 * 3)
= 7/2 ÷ (8 * 3)
= 7/2 ÷ 24
= 7/48
So, an equivalent form of 28 ÷ 24 using the Quotient Rule of Exponents is 7/48.
BRO THATS NOT AN ANSWER
I apologize for the previous incorrect response. Let's use the Quotient Rule of Exponents to find an equivalent form of 28 ÷ 24.
Recall that the Quotient Rule states that when dividing two powers with the same base, we subtract the exponents.
In this case, both 28 and 24 can be expressed as powers of 2:
28 = 2^2
24 = 2^3
To find the quotient, we subtract the exponent of the denominator from the exponent of the numerator:
28 ÷ 24 = 2^2 ÷ 2^3 = 2^(2-3) = 2^(-1)
Therefore, an equivalent form of 28 ÷ 24 using the Quotient Rule of Exponents is 2^(-1).
Pick the correct answer from here please
Using the Quotient Rule of Exponents, what is an equivalent form of 28÷24 ?(1 point)
Responses
212
2 superscript 12 baseline
24
2 superscript 4 baseline
22
2 superscript 4 baseline
232
2 superscript 32 baseline
The correct answer is:
2^(-1)
Using the Quotient Rule of Exponents, what is an equivalent form of 2^8÷2^4 ?(1 point)
Responses
2^12
2 superscript 12 baseline
2^4
2 superscript 4 baseline
2^2
2 superscript 4 baseline
2^32
Using the Quotient Rule of Exponents, when dividing two powers with the same base, you subtract the exponents.
So, for the expression 2^8 ÷ 2^4:
We subtract the exponent of the denominator from the exponent of the numerator:
2^8 ÷ 2^4 = 2^(8-4) = 2^4
Therefore, an equivalent form of 2^8 ÷ 2^4 using the Quotient Rule of Exponents is 2^4.
Using the Quotient Rule of Exponents, what is the exponent in an equivalent form of 7^9/7^6 if the base is 7?
According to the Quotient Rule of Exponents, when dividing two powers with the same base, you subtract the exponents.
In this case, the base is 7, and the exponents are 9 and 6.
Using the Quotient Rule of Exponents, we subtract the exponent of the denominator from the exponent of the numerator:
7^9 ÷ 7^6 = 7^(9-6) = 7^3
Therefore, the exponent in an equivalent form of 7^9 ÷ 7^6, with the base being 7, is 3.
Using the Power Rule of Exponents, what is an equivalent form of the expression (3^5)2 ?
The Power Rule of Exponents states that when a power is raised to another power, you multiply the exponents.
In the expression (3^5)^2, we have a power raised to another power.
Using the Power Rule of Exponents, we multiply the exponents:
(3^5)^2 = 3^(5*2) = 3^10
Therefore, an equivalent form of the expression (3^5)^2 using the Power Rule of Exponents is 3^10.
Using the Power Rule of Exponents, what is an equivalent form of the expression (6^3)3 ?
The Power Rule of Exponents states that when a power is raised to another power, you multiply the exponents.
In the expression (6^3)^3, we have a power raised to another power.
Using the Power Rule of Exponents, we multiply the exponents:
(6^3)^3 = 6^(3*3) = 6^9
Therefore, an equivalent form of the expression (6^3)^3 using the Power Rule of Exponents is 6^9.
Using the Power Rule of Exponents, what is the whole number exponent in an equivalent form of (5^6)2
Answer correctly
Using the Power Rule of Exponents, when a power is raised to another power, you multiply the exponents.
In this case, we have the expression (5^6)^2.
Using the Power Rule of Exponents, we multiply the exponents:
(5^6)^2 = 5^(6*2) = 5^12
Therefore, the whole number exponent in an equivalent form of (5^6)^2 is 12.
Using the Power Rule of Exponents, what is the whole number exponent in an equivalent form of (2^7)4 ?
Using the Power Rule of Exponents, when a power is raised to another power, you multiply the exponents.
In the expression (2^7)^4, we have a power raised to another power.
Using the Power Rule of Exponents, we multiply the exponents:
(2^7)^4 = 2^(7*4) = 2^28
Therefore, the whole number exponent in an equivalent form of (2^7)^4 is 28.
Evaluate the expression (1^4⋅(5+3) / (6−2))^2 . Show all your work
To evaluate the expression
(1^4⋅(5+3) / (6−2))^2
we should simplify the expression inside the parentheses first:
(1^4⋅8 / 4)^2
Simplifying further, we evaluate the exponent (^2) for the expression inside the parentheses:
(8 / 4)^2
Next, we simplify the expression within the parentheses:
2^2
Finally, we evaluate the power (^2) of 2:
2^2 = 4
Therefore, the value of the original expression is 4.