Bluebook SAT Test SAT Exponents and Radicals Practice 1

Question 1

Which of the following is equivalent to x^(2/3)?

Accepted Answer

∛(x²)

Answer

x² ÷ x³

Answer

√(x³)

Answer

x^(3/2)

Question 2

Simplify: (3x²y³)² × (2xy)³

Accepted Answer

72x⁷y⁹

Answer

72x⁷y⁸

Answer

36x⁷y⁹

Answer

54x⁷y⁹

Question 3

What is the value of 27^(−2/3)?

Accepted Answer

1/9

Answer

9

Answer

1/27

Answer

−9

Question 4

If 2^x = 32, what is the value of 2^(x−3)?

Accepted Answer

4

Answer

2

Answer

8

Answer

16

Question 5

Simplify: √(50x⁴y²)

Accepted Answer

5x²y√2

Answer

5xy√2

Answer

10x²y

Answer

5x²√(2y)

Question 6

Which expression is equivalent to (x^(1/2))(x^(1/3))?

Accepted Answer

x^(5/6)

Answer

x^(1/6)

Answer

x^(2/3)

Answer

x^(1/3)

Question 7

What is the value of (8^(1/3) + 16^(1/2)) ÷ 4^(1/2)?

Accepted Answer

3

Answer

2.5

Answer

3.5

Answer

4