Using the Quotient Rule of Exponents, what is an equivalent form of 86÷82 ?(1 point) Responses 8(6−2) 8 superscript left parenthesis 6 minus 2 right parenthesis baseline 8(6⋅2) 8 superscript left parenthesis 6 times 2 right parenthesis baseline 8(6+2) 8 superscript left parenthesis 6 plus 2 right parenthesis baseline 8(6÷2) 8 superscript left parenthesis 6 divided by 2 right parenthesis baseline
According to the Quotient Rule of Exponents, 86÷82 can be written as 8(6-2).
Using the Quotient Rule of Exponents, what is an equivalent form of 26÷23 ?(1 point)
Responses
218
2 superscript 18 baseline
29
2 superscript 9 baseline
22
2 squared
23
Using the Quotient Rule of Exponents, an equivalent form of 26÷23 is 2^(6-3), which simplifies to 2^3 or 2 cubed. So the correct response is 2^3 or 2 cubed.
Using the Quotient Rule of Exponents, what is an equivalent form of 58÷52 ?(1 point)
Responses
5(8÷2)
5 superscript left parenthesis 8 divided by 2 right parenthesis baseline
5(8−2)
5 superscript left parenthesis 8 minus 2 right parenthesis baseline
5(8+2)
5 superscript left parenthesis 8 plus 2 right parenthesis baseline
5(8⋅2)
Using the Quotient Rule of Exponents, an equivalent form of 58÷52 is 5^(8-2), which simplifies to 5^6. So the correct response is 5^6.
Apply the Quotient Rule of Exponents to form an equivalent expression of 2^6/2^2 .(1 point)
Responses
28
2 superscript 8 baseline
24
2 superscript 4 baseline
212
2 superscript 12 baseline
23
Using the Quotient Rule of Exponents, we can simplify 2^6/2^2 as 2^(6-2), which equals 2^4. So the correct response is 2^4.
What is the quotient of 2^3÷2^1 using the Quotient Rule of Exponents?(1 point)
Responses
4
4
2
2
16
16
8
Using the Quotient Rule of Exponents, the quotient of 2^3 ÷ 2^1 can be found by subtracting the exponents: 2^3 ÷ 2^1 = 2^(3-1) = 2^2 = 4. So the correct response is 4.
Using the Power Rule of Exponents, what is an equivalent form of (2^8)^2 ?(1 point)
Responses
2(8÷2)
2 superscript left parenthesis 8 divided by 2 right parenthesis baseline
2(8+2)
2 superscript left parenthesis 8 plus 2 right parenthesis baseline
2(8⋅2)
2 superscript left parenthesis 8 times 2 right parenthesis baseline
2(8−2)
Using the Power Rule of Exponents, an equivalent form of (2^8)^2 can be written as 2^(8*2). So the correct response is 2^(8*2) or 2^16.
Using the Power Rule of Exponents, what is an equivalent form of (6^6)^3 ? (1 point)
Responses
69
6 superscript 9 baseline
63
6 cubed
62
6 squared
618
6 superscript 18 baseline
Using the Power Rule of Exponents, an equivalent form of (6^6)^3 can be written as 6^(6*3), which simplifies to 6^18. So the correct response is 6^18.
Using the Power Rule of Exponents, what is an equivalent form of ((1/2)^10)^2 ?(1 point)
Responses
(12)(10⋅2)
left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript left parenthesis 10 times 2 right parenthesis baseline
(12)(10+2)
left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript left parenthesis 10 plus 2 right parenthesis baseline
(12)(10÷2)
left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript left parenthesis 10 divided by 2 right parenthesis baseline
(12)(10−2)
Using the Power Rule of Exponents, an equivalent form of ((1/2)^10)^2 can be written as (1/2)^(10*2), which simplifies to (1/2)^20. So the correct response is (1/2)^20.
Apply the Power Rule of Exponents to form an equivalent expression of (2^6)^2 .(1 point)
Responses
23
2 cubed
24
2 superscript 4 baseline
28
2 superscript 8 baseline
212
Applying the Power Rule of Exponents to (2^6)^2, we multiply the exponents: 2^(6*2) = 2^12. So the correct response is 2^12.
What is the result of (2^3)^3 using the Power Rule of Exponents?(1 point)
Responses
512
512
1
1
64
64
2
2