Bluebook SAT Test SAT Exponents and Radicals Practice 3

Question 1

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

Accepted Answer

1/x³

Answer

−x³

Answer

x^(1/3)

Answer

3/x

Question 2

If 3^m = 81 and 3^n = 27, what is m − n?

Accepted Answer

1

Answer

0

Answer

2

Answer

3

Question 3

Rationalize the denominator: 6/√3

Accepted Answer

2√3

Answer

3√2

Answer

6√3

Answer

√18

Question 4

A quantity grows according to y = 500 × 2^(t/5). What is y when t = 15?

Accepted Answer

4,000

Answer

2,000

Answer

3,000

Answer

8,000

Question 5

Simplify: (a²b⁻³)/(a⁻¹b²)

Accepted Answer

a³/b⁵

Answer

a/b

Answer

a³b⁵

Answer

a⁻³b⁵

Question 6

What is the value of (1/4)^(−3/2)?

Accepted Answer

8

Answer

1/8

Answer

4√2

Answer

2

Question 7

Simplify: √72 + √50 − √18

Accepted Answer

8√2

Answer

10√2

Answer

12√2

Answer

6√2