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