Which factors of the base would help simplify the expression 16 1/4?(1 point)
16=2⋅2⋅2⋅2
16 equals 2 times 2 times 2 times 2
16=8⋅8
16 equals 8 times 8
16=4⋅2⋅2
16 equals 4 times 2 times 2
16=4⋅4
The factor of the base that would help simplify the expression 16 1/4 is 4.
Question
Which factors of the base would help simplify the expression 1614?(1 point)
Responses
16=2⋅2⋅2⋅2
16 equals 2 times 2 times 2 times 2
16=8⋅8
16 equals 8 times 8
16=4⋅2⋅2
16 equals 4 times 2 times 2
16=4⋅4
16 equals 4 times 4
The factor of the base that would help simplify the expression 1614 is 4.
i don't undertsand you bot
I apologize for any confusion. To simplify the expression 16 1/4, we need to find the factors of the base 16. The factor of 16 that would help simplify the expression is 4.
ok let me say this clearly
Which factors of the base would help simplify the expression 16 exponent 1/4?(1 point)
A:16=2.2.2.2
B:16=8.8
C:16=4.2.2
D:16=4.4
I apologize for the confusion. The factor of the base that would help simplify the expression 16^(1/4) is option C: 16 = 4.2.2.
Given that the cube root of 27 is 3, what is 27 exponent 4/3?
A:4
B:12
C:108
D:81
To simplify 27^(4/3), we can rewrite the exponent as (3/3) * (4/3) = 12/9.
Therefore, 27^(4/3) is equivalent to (27^(1/3))^4. Since the cube root of 27 is 3, we can substitute it in the expression:
(3^4) = 81.
So, the correct answer is D: 81.
What is the correct simplification of 25 exponent 3/2?(1 point)
A:125
B:37.5
C:75
D:625
To simplify 25^(3/2), we can rewrite the exponent as (2/2) * (3/2) = 6/4.
Therefore, 25^(3/2) is equivalent to (25^(1/2))^3. Since the square root of 25 is 5, we can substitute it in the expression:
(5^3) = 125.
So, the correct simplification of 25^(3/2) is A: 125.
2 more questions that okay?
Of course! Please feel free to ask your additional questions.
thx then here goes
You're welcome! Please go ahead and ask your questions. I'm here to help!
Given that the meaning of a rational exponent can be connected to the meaning of a root, how can you rewrite 5–√3 using a rational exponent?(1 point)
A:5 exponent 3
B:5 exponent 1
C:3 exponent 5
D:5 exponent 1/3
To rewrite 5–√3 using a rational exponent, we can connect the meaning of a rational exponent to the meaning of a root. The rational exponent can be expressed as the reciprocal of the root.
The square root (√) of 3 can be expressed as 3^(1/2). Taking the reciprocal of 1/2, we get 2/1 or 2.
Therefore, 5–√3 can be rewritten as 5^(2/1) or 5^2.
So, the correct rewriting of 5–√3 using a rational exponent is B: 5 exponent 1.
one more question
Sure, go ahead and ask your final question!
How can you rewrite 8 exponent 1/2 using a root?(1 point)
A:1/2−−√exponent 8
B:8–√exponent 1/2
C:8–√
D:root index 1 Start Root 8 End Root
8–√
To rewrite 8 exponent 1/2 using a root, we need to connect the meaning of a rational exponent to the meaning of a root.
The rational exponent 1/2 represents the square root (√) of a number. Therefore, 8 exponent 1/2 can be expressed as the square root of 8.
So, the correct rewriting of 8 exponent 1/2 using a root is D: root index 1 Start Root 8 End Root.
i got two wrong :/
I apologize for the confusion. Let's go through the options again:
A: 1/2–√exponent 8: This expression does not accurately represent 8 exponent 1/2.
B: 8–√exponent 1/2: This expression also does not accurately represent 8 exponent 1/2.
C: 8–√: This expression correctly represents 8 exponent 1/2 as the square root of 8.
D: root index 1 Start Root 8 End Root: This option represents the whole number root of 8, not the exponent 1/2.
Therefore, the correct answer is C: 8–√.
I apologize for the earlier incorrect response. Thank you for bringing it to my attention.
umm the first one was right but questions 1 and 4
I apologize for the confusion. Let's go through questions 1 and 4 again:
Question 1: Given that the meaning of a rational exponent can be connected to the meaning of a root, how can you rewrite 5–√3 using a rational exponent?
A: 5 exponent 3
B: 5 exponent 1
C: 3 exponent 5
D: 5 exponent 1/3
The square root (√) of 3 can be expressed as 3^(1/2). Taking the reciprocal of 1/2, we get 2/1 or 2.
Therefore, 5–√3 can be rewritten as 5^(2/1) or 5^2.
So, the correct rewriting of 5–√3 using a rational exponent is A: 5 exponent 3. I apologize for the earlier incorrect response.
Question 4: How can you simplify the expression 16^(1/4)?
A: 16 = 2⋅2⋅2⋅2
B: 16 = 8⋅8
C: 16 = 4⋅2⋅2
D: 16 = 4⋅4
The correct answer is D: 16 = 4⋅4. Taking the 4th root of 16 results in 4.
I apologize for the earlier incorrect response. Thank you for pointing it out.