Bluebook SAT Test SAT Exponents and Radicals Practice 5

Question 1

What is (5.4 × 10⁶) × (2.0 × 10⁻²) in scientific notation?

Accepted Answer

1.08 × 10⁵

Answer

10.8 × 10³

Answer

1.08 × 10⁶

Answer

10.8 × 10⁴

Question 2

Which of the following is equivalent to ⁴√(x⁸y⁴)?

Accepted Answer

x²y

Answer

xy

Answer

xy²

Answer

x²y²

Question 3

If 5^a × 5^b = 5^12 and a − b = 4, what is the value of a?

Accepted Answer

8

Answer

6

Answer

7

Answer

10

Question 4

Rationalize the denominator of 4/(2 − √3).

Accepted Answer

8 + 4√3

Answer

8 − 4√3

Answer

4 + 2√3

Answer

2 + √3

Question 5

Solve for x: 9^(2x) = 27

Accepted Answer

x = 3/4

Answer

x = 2/3

Answer

x = 1

Answer

x = 3/2

Question 6

What is the simplified form of √45 ÷ √5?

Accepted Answer

3

Answer

√9

Answer

9

Answer

3√5

Question 7

An investment grows as A = 1000 × (1.06)^t. Using log 2 ≈ 0.301 and log 1.06 ≈ 0.0253, in how many years does it approximately double?

Accepted Answer

12

Answer

10

Answer

11

Answer

14