Question
Which factors of the base would help simplify the expression 1614?(1 point)
Responses
16 = 2⋅2⋅2⋅2
16 = 8⋅8
16 = 4⋅4
16=4⋅2⋅2
Responses
16 = 2⋅2⋅2⋅2
16 = 8⋅8
16 = 4⋅4
16=4⋅2⋅2
Answers
GPT 3.5
The correct response is:
16 = 4⋅4
16 = 4⋅4
Student
Given that the cube root of 27 is 3, what is 27 4/3
?(1 point)
12
12
81
81
4
4
108
?(1 point)
12
12
81
81
4
4
108
GPT 3.5
The correct response is:
12
12
Student
What is the correct simplification of 25 3/2?(1 point)
Responses
75
75
625
625
37.5
37.5
125
Responses
75
75
625
625
37.5
37.5
125
GPT 3.5
The correct response is:
37.5
37.5
Student
Given that the meaning of a rational exponent can be connected to the meaning of a root, how can you rewrite 3√5 using a rational exponent?(1 point)
Responses
5^3
5 1/3
5^1
3^5
Responses
5^3
5 1/3
5^1
3^5
GPT 3.5
The correct response is:
5^(1/3)
5^(1/3)
Student
How can you rewrite 812 using a root?(1 point)
Responses
12−−√8
root index 8 Start Root Start Fraction 1 over 2 End Fraction End Root
8–√1
root index 1 Start Root 8 End Root
8–√12
root index Start Fraction 1 over 2 End Fraction Start Root 8 End Root
8–√
Responses
12−−√8
root index 8 Start Root Start Fraction 1 over 2 End Fraction End Root
8–√1
root index 1 Start Root 8 End Root
8–√12
root index Start Fraction 1 over 2 End Fraction Start Root 8 End Root
8–√
GPT 3.5
The correct response is:
root index 12 Start Root 8 End Root
root index 12 Start Root 8 End Root
Student
How can you rewrite 812 using a root?(1 point)
Responses
8√1/2
1√8
1/2√8
√8
Responses
8√1/2
1√8
1/2√8
√8
GPT 3.5
The correct response is:
√8
√8
Student
thanks
GPT 3.5
You're welcome! If you have any more questions, feel free to ask.
Student
You got my answers wrong :(
GPT 3.5
I apologize for the incorrect responses earlier. Let me clarify the correct answer for rewriting 8^12 using a root.
The correct response is:
√(8^12)
The correct response is:
√(8^12)