Bluebook SAT Test SAT Exponents and Radicals Practice 2

Question 1

If a = 3 × 10⁵ and b = 6 × 10³, what is a/b expressed in scientific notation?

Accepted Answer

5 × 10¹

Answer

0.5 × 10³

Answer

5 × 10⁻¹

Answer

5 × 10²

Question 2

Simplify: (x³)^(2/3)

Accepted Answer

x²

Answer

x^(9/2)

Answer

x^(1/3)

Answer

x⁶

Question 3

Which of the following equals (√3 + √2)(√3 − √2)?

Accepted Answer

1

Answer

√6

Answer

5

Answer

√5

Question 4

A bacteria colony triples every 4 hours. Starting with 200 bacteria, which expression gives the count after t hours?

Accepted Answer

200 × 3^(t/4)

Answer

200 × 3^t

Answer

200 × (1/3)^(t/4)

Answer

200 × 4^(t/3)

Question 5

What is the simplified form of ∛(27x⁶y³)?

Accepted Answer

3x²y

Answer

3x²y²

Answer

9x²y

Answer

3xy³

Question 6

Solve for x: 4^x = 8

Accepted Answer

x = 3/2

Answer

x = 1

Answer

x = 2

Answer

x = 3

Question 7

Simplify: (16)^(3/4)

Accepted Answer

8

Answer

4

Answer

12

Answer

24