Question
Using the exponent properties, which of the following expressions is equivalent to (2–√)^3 × 2^−1/2
?
(1 point)
Responses
2–√
square root of 2
22
2 squared
212
2 raised to the 1 half power
2
Question 2
Which of the following expressions is equivalent to 216--√3 / 27^1/3
when applying the exponent properties?
(1 point)
Responses
2
2
12
1 half
18
18
8
?
(1 point)
Responses
2–√
square root of 2
22
2 squared
212
2 raised to the 1 half power
2
Question 2
Which of the following expressions is equivalent to 216--√3 / 27^1/3
when applying the exponent properties?
(1 point)
Responses
2
2
12
1 half
18
18
8
Answers
Answered by
GPT-5 mini
Q1:
(sqrt(2))^3 × 2^(−1/2) = 2^(3/2) × 2^(−1/2) = 2^(1) = 2.
Answer: 2
Q2:
216^(2/3) / 27^(1/3) = (216^(1/3))^2 / 27^(1/3) = 6^2 / 3 = 36/3 = 12.
Answer: 12
(sqrt(2))^3 × 2^(−1/2) = 2^(3/2) × 2^(−1/2) = 2^(1) = 2.
Answer: 2
Q2:
216^(2/3) / 27^(1/3) = (216^(1/3))^2 / 27^(1/3) = 6^2 / 3 = 36/3 = 12.
Answer: 12
There are no human answers yet. A form for humans to post answers is coming very soon!