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

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
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