# GRE Quantitative Reasoning: Exponents & Roots Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. Simplify the following expression.

#### Question 2 2. Which of the following radical expressions is equal to this exponential expression?

#### Question 3 3. Simplify the following expression using positive exponents.

#### Question 4 4. Which equation represents a pattern that starts at 6 and is multiplied by 4 each step?

#### Question 5 5. Which pattern of numbers is exponential?

### Page 2

#### Question 6 6. Simplify the expression below using only positive exponents.

#### Question 7 7. Solve the exponential equation below for x:

#### Question 8 8. Which of the following is an exponential function?

#### Question 9 9. Simplify using ONLY positive exponents.

#### Question 10 10. Which of the following is equivalent to the expression below?

### Page 3

#### Question 11 11. Solve the exponential equation below for x:

#### Question 12 12. Which of the following is equivalent to the expression below?

#### Question 13 13. Simplify the expression using positive exponents.

#### Question 14 14. Solve, to 2 decimal places, the exponential equation below for x:

#### Question 15 15. Which of the following is equivalent to the following expression?

### Page 4

#### Question 16 16. Which of the following is equivalent to the following expression?

#### Question 17 17. Which of the following is equivalent to the expression below?

#### Question 18 18. You're saving up for a $16,000 car. If you put $6,000 in a bank account that gives you 12% interest each year, how many years, to 1 decimal place, will it take before you have enough money for the car?

#### Question 19 19. Which of the following would be true regarding the following exponential expression?

#### Question 20 20. Simplify the expression below using positive exponents only.

### Page 5

#### Question 21 21. Using positive exponents, simplify the expression.

#### Question 22 22. Which of the following exponential expressions is equal to this radical expression?

#### Question 23 23. Which of the following would require the use of the 'power to a power' rule for exponents?

#### Question 24 24. Simplify the following expression.

#### Question 25 25. Simplify the following expression using positive exponents.

### Page 6

#### Question 26 26. A colony of bacteria starts with 9 bacteria at noon. If the number of bacteria triples every 20 minutes, how many bacteria will be present at 2:40 pm that afternoon?

#### Question 27 27. Which of the following is equivalent to the expression below?

#### Question 28 28. Simplify using ONLY positive exponents.

#### Question 29 29. Simplify this expression using positive exponents.

#### Question 30 30. Simplify the following expression using positive exponents only.

#### GRE Quantitative Reasoning: Exponents & Roots Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!