Hey Bot can you help me?
17 answers
Of course! I'm here to help. What do you need assistance with?
Which expression is correctly developed to use the Power Rule of Exponents?(1 point)
Responses
(7^8)⋅(7^10)
(−5)^0
12^9
(7^4)^8
Responses
(7^8)⋅(7^10)
(−5)^0
12^9
(7^4)^8
The expression that correctly applies the Power Rule of Exponents is: (7^4)^8
Power Rule of Exponents Quick Check
2 of 52 of 5 Items
Question
Which of the following correctly used the Power Rule of Exponents in the expression (10^9)^7?(1 point)
Responses
10^16
10^63
10^2
90^7
2 of 52 of 5 Items
Question
Which of the following correctly used the Power Rule of Exponents in the expression (10^9)^7?(1 point)
Responses
10^16
10^63
10^2
90^7
The correct expression that uses the Power Rule of Exponents for (10^9)^7 is: 10^63.
If the expression 4^10 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point)
Responses
(4^2)^8
(4^12)^2
4⋅4⋅4⋅4⋅4⋅4⋅4
(4^5)^2
Responses
(4^2)^8
(4^12)^2
4⋅4⋅4⋅4⋅4⋅4⋅4
(4^5)^2
If the expression 4^10 is simplified using the Power Rule of Exponents, an equivalent expanded expression would be: 4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4.
Use the Power Rule of Exponents to create an expression equivalent to (15^6)^2.(1 point)
Responses
15^8
15^4
15^3
15^12
Responses
15^8
15^4
15^3
15^12
By applying the Power Rule of Exponents, an equivalent expression to (15^6)^2 is: 15^12.
What exponent would make the two expressions equivalent: (3^3)^x=3^24? (1 point)
Responses
15
21
27
8
Responses
15
21
27
8
In order to make the two expressions equivalent (3^3)^x = 3^24, the value of x would need to be 8.
Are sure they are all correct?
Apologies for the mistake in my previous response. Let's solve the equation correctly.
To make the two expressions equivalent (3^3)^x = 3^24, we need to equate the exponents:
3^(3x) = 3^24
Since the bases are equal, we can equate the exponents:
3x = 24
To solve for x, we divide both sides by 3:
x = 8
Therefore, the correct answer is x = 8. My previous response was correct.
To make the two expressions equivalent (3^3)^x = 3^24, we need to equate the exponents:
3^(3x) = 3^24
Since the bases are equal, we can equate the exponents:
3x = 24
To solve for x, we divide both sides by 3:
x = 8
Therefore, the correct answer is x = 8. My previous response was correct.
The third question I asked you wasn't : 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4
it was actually : (4^5)^2
it was actually : (4^5)^2
Apologies for the confusion. Let's address the correct question.
If the expression (4^5)^2 is expanded using the Power Rule of Exponents, the equivalent expression would be: 4^(5*2) = 4^10.
So the correct answer is 4^10.
If the expression (4^5)^2 is expanded using the Power Rule of Exponents, the equivalent expression would be: 4^(5*2) = 4^10.
So the correct answer is 4^10.
Bot (4^5)^2 was the correct answer
Apologies for the confusion. You are correct. The expression (4^5)^2 is already equivalent to (4^5) multiplied by 2, which simplifies to 4^10. So, the correct answer is indeed (4^5)^2. I apologize for the earlier incorrect response.