Using the Product Rule of Exponents, what is an equivalent form of 82⋅86 ?(1 point)
Responses
8(2⋅6)
8 superscript left parenthesis 2 times 6 right parenthesis baseline
8(2÷6)
8 superscript left parenthesis 2 divided by 6 right parenthesis baseline
8(2−6)
8 superscript left parenthesis 2 minus 6 right parenthesis baseline
8(2+6)
Using the Product Rule of Exponents, what is an equivalent form of 2^6⋅2^3 ?(1 point)
Responses
2^18
2 superscript 18 baseline
2^9
2 superscript 9 baseline
2^3
2 cubed
2^2
thats not one of the answers
8*(2+6)
Using the Product Rule of Exponents, what is an equivalent form of 26⋅23 ?(1 point)
Responses
218
2 superscript 18 baseline
29
2 superscript 9 baseline
23
2 cubed
22
2^(6+3)
I apologize for the mistake. The correct answer should be:
2^9
Apply the Product Rule of Exponents to form an equivalent expression of 16⋅12⋅11 .(1 point)
Responses
113
1 superscript 13 baseline
112
1 superscript 12 baseline
13
1 cubed
19
16⋅12⋅11 is not an exponential expression, so the Product Rule of Exponents does not apply. Therefore, there is no equivalent expression using the Product Rule of Exponents.
Apply the Product Rule of Exponents to form an equivalent expression of 1^6⋅1^2⋅1^1 .(1 point)
Responses
1^13
1 superscript 13 baseline
1^12
1 superscript 12 baseline
1^3
1 cubed
1^9
The Product Rule of Exponents states that for any number a, a^m * a^n = a^(m+n).
Applying this rule, we can simplify the expression 1^6 * 1^2 * 1^1 as follows:
1^6 * 1^2 * 1^1 = 1^(6+2+1) = 1^9
Therefore, the equivalent expression using the Product Rule of Exponents is 1^9.
Using the Product Rule of Exponents, what is an equivalent form of (13)6⋅(13)3 ?(1 point)
Responses
(1/3)^9
left parenthesis Start Fraction 1 over 3 End Fraction right parenthesis superscript 9 baseline
(1/3)^3
left parenthesis Start Fraction 1 over 3 End Fraction right parenthesis cubed
(1/3)^18
left parenthesis Start Fraction 1 over 3 End Fraction right parenthesis superscript 18 baseline
(1/3)^2
Using the Product Rule of Exponents, we have (13)^6 * (13)^3 = (13)^(6+3) = (13)^9.
Therefore, the equivalent form using the Product Rule of Exponents is (13)^9.
Find the product of 2^5⋅2^5 using the Product Rule of Exponents.(1 point)
Responses
0
0
20
20
1,024
1,024
1
Using the Product Rule of Exponents, we have 2^5 * 2^5 = 2^(5+5) = 2^10.
Therefore, the product of 2^5 * 2^5 is 1,024.
Using the Quotient Rule of Exponents, what is an equivalent form of 8^6÷8^2 ?(1 point)
Responses
8(6÷2)
8 superscript left parenthesis 6 divided by 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 times 2 right parenthesis baseline
8(6−2)
Using the Quotient Rule of Exponents, we have 8^6 ÷ 8^2 = 8^(6-2) = 8^4.
Therefore, an equivalent form of 8^6 ÷ 8^2 using the Quotient Rule of Exponents is 8^4.
thats not one of the answers
I apologize for the confusion. The correct answer should be:
8^(6-2)
Using the Quotient Rule of Exponents, what is an equivalent form of 26÷23 ?(1 point)
Responses
23
2 cubed
22
2 squared
29
2 superscript 9 baseline
218
Using the Quotient Rule of Exponents, we have 2^6 ÷ 2^3 = 2^(6-3) = 2^3.
Therefore, an equivalent form of 2^6 ÷ 2^3 using the Quotient Rule of Exponents is 2^3, which is equivalent to 8.
Using the Quotient Rule of Exponents, what is an equivalent form of 5^8÷5^2 ?(1 point)
Responses
5(8+2)
5 superscript left parenthesis 8 plus 2 right parenthesis baseline
5(8⋅2)
5 superscript left parenthesis 8 times 2 right parenthesis baseline
5(8÷2)
5 superscript left parenthesis 8 divided by 2 right parenthesis baseline
5(8−2)
Using the Quotient Rule of Exponents, we have 5^8 ÷ 5^2 = 5^(8-2) = 5^6.
Therefore, an equivalent form of 5^8 ÷ 5^2 using the Quotient Rule of Exponents is 5^6.
not one of the answers
Apologies for the error. The correct answer is:
5^(8-2) = 5^6.
Apply the Quotient Rule of Exponents to form an equivalent expression of 2622 .(1 point)
Responses
212
2 superscript 12 baseline
23
2 cubed
24
2 superscript 4 baseline
28
I apologize for the confusion, but the expression 2622 does not involve exponentiation. Therefore, the Quotient Rule of Exponents does not apply, and there is no equivalent expression using this rule.
Apply the Quotient Rule of Exponents to form an equivalent expression of 2^6/2^2 .(1 point)
Responses
2^12
2 superscript 12 baseline
2^3
2 cubed
2^4
2 superscript 4 baseline
2^8
Applying the Quotient Rule of Exponents, we have 2^6 ÷ 2^2 = 2^(6-2) = 2^4.
Therefore, an equivalent expression using the Quotient Rule of Exponents is 2^4.
What is the quotient of 23÷21 using the Quotient Rule of Exponents?(1 point)
Responses
4
4
2
2
8
8
16
The Quotient Rule of Exponents does not apply to the expression 23 ÷ 21 because it does not involve exponentiation. Therefore, there is no equivalent expression using the Quotient Rule of Exponents.
The quotient of 23 ÷ 21 is simply 1.095, which can be rounded to 1.
What is the quotient of 2^3÷2^1 using the Quotient Rule of Exponents?(1 point)
Responses
4
4
2
2
8
8
16
Using the Quotient Rule of Exponents, we have 2^3 ÷ 2^1 = 2^(3-1) = 2^2.
Therefore, the quotient of 2^3 ÷ 2^1 using the Quotient Rule of Exponents is 2^2, which is equal to 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 times 2 right parenthesis baseline
2(8+2)
2 superscript left parenthesis 8 plus 2 right parenthesis baseline
2(8−2)
Using the Power Rule of Exponents, we have (2^8)^2 = 2^(8*2) = 2^16.
Therefore, an equivalent form of (2^8)^2 using the Power Rule of Exponents is 2^16.
Using the Power Rule of Exponents, what is an equivalent form of (6^6)^3 ? (1 point)
Responses
6^18
6 superscript 18 baseline
6^9
6 superscript 9 baseline
6^2
6 squared
6^3
6 cubed
Using the Power Rule of Exponents, we have (6^6)^3 = 6^(6*3) = 6^18.
Therefore, an equivalent form of (6^6)^3 using the Power Rule of Exponents is 6^18.
Using the Power Rule of Exponents, what is an equivalent form of ((1/2)^10)^2 ?(1 point)
Responses
(1/2)(10÷2)
left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript left parenthesis 10 divided by 2 right parenthesis baseline
(1/2)(10⋅2)
left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript left parenthesis 10 times 2 right parenthesis baseline
(1/2)(10−2)
left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript left parenthesis 10 minus 2 right parenthesis baseline
(1/2)(10+2)
left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript left parenthesis 10 plus 2 right parenthesis baseline
Using the Power Rule of Exponents, we have ((1/2)^10)^2 = (1/2)^(10*2) = (1/2)^20.
Therefore, an equivalent form of ((1/2)^10)^2 using the Power Rule of Exponents is (1/2)^20.
Apply the Power Rule of Exponents to form an equivalent expression of (2^6)^2 .(1 point)
Responses
2^3
2 cubed
2^12
2 superscript 12 baseline
2^8
2 superscript 8 baseline
2^4
Applying the Power Rule of Exponents, we have (2^6)^2 = 2^(6*2) = 2^12.
Therefore, an equivalent expression using the Power Rule of Exponents is 2^12.
What is the result of (2^3)^3 using the Power Rule of Exponents?(1 point)
Responses
512
512
2
2
64
64
1
1
Using the Power Rule of Exponents, we have (2^3)^3 = 2^(3*3) = 2^9.
Therefore, the result of (2^3)^3 using the Power Rule of Exponents is 512.