Question
Use the Power Rule of Exponents to simplify the expression (6^2)^4
Use the Power Rule of Exponents to simplify the expression (73^4)^5
Use the Power Rule of Exponents to simplify the expression (78^8)^6
Use the Power Rule of Exponents to create a simplified equivalent expression of (12⋅12⋅12)⋅(12⋅12⋅12)
What exponent would make the two expressions equivalent: (16^x)^6=(16^18)?
Use the Power Rule of Exponents to simplify the expression (73^4)^5
Use the Power Rule of Exponents to simplify the expression (78^8)^6
Use the Power Rule of Exponents to create a simplified equivalent expression of (12⋅12⋅12)⋅(12⋅12⋅12)
What exponent would make the two expressions equivalent: (16^x)^6=(16^18)?
Answers
Answer
1. Which expression is correctly developed to use the Power Rule of Exponents?
12^9
(7^4)^8
(−5)^0
(7^8)⋅(7^10)
2.Which of the following correctly used the Power Rule of Exponents in the expression (10^9)^7?
10^16
10^63
10^2
90^7
3. If the expression 4^10 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression?
(4^12)^2
(4^2)^8
(4^5)^2
4 x 4 x 4 x 4 x 4 x 4 x 4
4. Use the Power Rule of Exponents to create and expression equivalent to (15^6)^2.
15^8
15^12
15^3
15^4
5. What exponent would make the two expressions equivalent: (3^3)^x = 3^24?
15
8
27
21
12^9
(7^4)^8
(−5)^0
(7^8)⋅(7^10)
2.Which of the following correctly used the Power Rule of Exponents in the expression (10^9)^7?
10^16
10^63
10^2
90^7
3. If the expression 4^10 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression?
(4^12)^2
(4^2)^8
(4^5)^2
4 x 4 x 4 x 4 x 4 x 4 x 4
4. Use the Power Rule of Exponents to create and expression equivalent to (15^6)^2.
15^8
15^12
15^3
15^4
5. What exponent would make the two expressions equivalent: (3^3)^x = 3^24?
15
8
27
21
Answer
The first one are the practice questions so that's 100%.
I'll let you know on the quickcheck next.
I'll let you know on the quickcheck next.
Answer
The quickcheck has 2 wrong. 1. is (7^4)^8 and 3. is (4^5)^2
Answer
Bot What exponent would make the two expressions equivalent: (3*3)*=3*24
Answer
Use the Power Rule of Exponents to create an expression equivalent to (15*6)*2.
Answer
If the expression 4*10 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point)
Answer
Which of the following correctly used the Power Rule of Exponents in the expression (10*9)*7?
Answer
wrong
Answered by
GPT 3.5
To use the Power Rule of Exponents, we multiply the exponents for each situation.
1. (6^2)^4
= 6^(2*4)
= 6^8
2. (73^4)^5
= 73^(4*5)
= 73^20
3. (78^8)^6
= 78^(8*6)
= 78^48
4. (12⋅12⋅12)⋅(12⋅12⋅12)
= (12^3)⋅(12^3)
= 12^(3+3)
= 12^6
5. To make the two expressions equivalent, the exponent in the first expression must be x = 18/6 = 3.
1. (6^2)^4
= 6^(2*4)
= 6^8
2. (73^4)^5
= 73^(4*5)
= 73^20
3. (78^8)^6
= 78^(8*6)
= 78^48
4. (12⋅12⋅12)⋅(12⋅12⋅12)
= (12^3)⋅(12^3)
= 12^(3+3)
= 12^6
5. To make the two expressions equivalent, the exponent in the first expression must be x = 18/6 = 3.
Answered by
GPT 3.5
1. (7^8)⋅(7^10) is correctly developed to use the Power Rule of Exponents because it combines the exponents when multiplying two powers with the same base.
2. 10^63 correctly uses the Power Rule of Exponents in the expression (10^9)^7. By multiplying the exponents, we get 9 x 7 = 63.
3. To find an equivalent expanded expression for 4^10 using the Power Rule of Exponents, we would first simplify the expression. However, none of the given options are correct. The correct equivalent expanded expression would be (4^10) or 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4.
4. To create an expression equivalent to (15^6)^2 using the Power Rule of Exponents, we need to multiply the exponents. Thus, the equivalent expression would be 15^(6*2) = 15^12.
5. The exponent that would make the two expressions (3^3)^x and 3^24 equivalent is 8. Since the base is the same in both expressions (3), we can set the exponents equal to each other: 3^3x = 3^24. By comparing the exponents, we see that 3x = 24, and solving for x, we get x = 8.
2. 10^63 correctly uses the Power Rule of Exponents in the expression (10^9)^7. By multiplying the exponents, we get 9 x 7 = 63.
3. To find an equivalent expanded expression for 4^10 using the Power Rule of Exponents, we would first simplify the expression. However, none of the given options are correct. The correct equivalent expanded expression would be (4^10) or 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4.
4. To create an expression equivalent to (15^6)^2 using the Power Rule of Exponents, we need to multiply the exponents. Thus, the equivalent expression would be 15^(6*2) = 15^12.
5. The exponent that would make the two expressions (3^3)^x and 3^24 equivalent is 8. Since the base is the same in both expressions (3), we can set the exponents equal to each other: 3^3x = 3^24. By comparing the exponents, we see that 3x = 24, and solving for x, we get x = 8.
Answered by
GPT 3.5
Thank you for letting me know! I apologize for the confusion earlier. If you have any more questions or need further assistance, please feel free to ask. Good luck with your quickcheck!
Answered by
GPT 3.5
I apologize for the incorrect answers in question 1 and question 3. Let's correct them:
1. (7^4)^8
Using the power rule of exponents, we multiply the exponents: 7^(4*8) = 7^32.
3. (4^5)^2
Similarly, we multiply the exponents: 4^(5*2) = 4^10.
I apologize for the confusion earlier. If you have any additional questions or need further clarification, please let me know.
1. (7^4)^8
Using the power rule of exponents, we multiply the exponents: 7^(4*8) = 7^32.
3. (4^5)^2
Similarly, we multiply the exponents: 4^(5*2) = 4^10.
I apologize for the confusion earlier. If you have any additional questions or need further clarification, please let me know.
Answered by
GPT 3.5
It seems there might be a typo in your question. The expression (3*3)* does not have an exponent attached to it. However, if you meant to ask what exponent would make the two expressions equivalent: (3^3)^x = 3^24, I can help with that.
To find the value of x, we can set the exponents equal to each other:
(3^3)^x = 3^24
Using the power rule of exponents, we multiply the exponents on the left side:
3^(3x) = 3^24
Since the bases are the same, the exponents must be equal:
3x = 24
Dividing both sides by 3, we find:
x = 8
Therefore, the exponent that would make the two expressions equivalent is x = 8.
To find the value of x, we can set the exponents equal to each other:
(3^3)^x = 3^24
Using the power rule of exponents, we multiply the exponents on the left side:
3^(3x) = 3^24
Since the bases are the same, the exponents must be equal:
3x = 24
Dividing both sides by 3, we find:
x = 8
Therefore, the exponent that would make the two expressions equivalent is x = 8.
Answered by
GPT 3.5
Sure! To create an equivalent expression using the Power Rule of Exponents, we can simplify the expression (15^6)^2.
Using the Power Rule of Exponents, we multiply the exponents:
(15^6)^2 = 15^(6*2) = 15^12.
Therefore, an equivalent expression to (15^6)^2 is 15^12.
Using the Power Rule of Exponents, we multiply the exponents:
(15^6)^2 = 15^(6*2) = 15^12.
Therefore, an equivalent expression to (15^6)^2 is 15^12.
Answered by
GPT 3.5
If the expression 4*10 was simplified using the Power Rule of Exponents, we would not apply the Power Rule of Exponents because there are no exponents involved. The expression 4*10 is already simplified and cannot be further expanded using the Power Rule of Exponents.
Answered by
GPT 3.5
None of the given options correctly use the Power Rule of Exponents in the expression (10*9)*7.
The Power Rule of Exponents is used when we have a base raised to a power. In this expression, (10*9) is simply a multiplication, not an exponentiation. Therefore, the Power Rule of Exponents does not apply.
To evaluate (10*9)*7, we can simply perform the multiplication first:
(10*9)*7 = 90*7 = 630.
The Power Rule of Exponents is used when we have a base raised to a power. In this expression, (10*9) is simply a multiplication, not an exponentiation. Therefore, the Power Rule of Exponents does not apply.
To evaluate (10*9)*7, we can simply perform the multiplication first:
(10*9)*7 = 90*7 = 630.
Answered by
GPT 3.5
Apologies for the confusion. Let's evaluate the expression (10*9)*7 using the Power Rule of Exponents.
The Power Rule of Exponents states that when you have a power raised to another power, you multiply the exponents. However, in this case, we don't have any exponents involved. The expression (10*9)*7 is simply a multiplication of numbers.
To simplify, we can perform the multiplication:
(10*9)*7 = 90*7 = 630.
Therefore, in this expression, the Power Rule of Exponents is not applicable.
The Power Rule of Exponents states that when you have a power raised to another power, you multiply the exponents. However, in this case, we don't have any exponents involved. The expression (10*9)*7 is simply a multiplication of numbers.
To simplify, we can perform the multiplication:
(10*9)*7 = 90*7 = 630.
Therefore, in this expression, the Power Rule of Exponents is not applicable.
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