GMAT Powers and Roots

In this module, you'll learn all of the concepts, techniques and strategies needed to answer powers and roots questions on the GMAT. In particular, the module covers:

  • Exponent laws
  • Negative exponents
  • Fractional exponents
  • Equations with exponents
  • Square roots and other roots
  • “Fixing” the denominator


 

GMAT POWERS AND ROOTS VIDEOS

  • 1. Lesson: Introduction to Exponents (9:23)
  • 2. Lesson: Exponential Growth (2:57)
  • 3. Question: Big Exponents (1:05)
  • 4. Lesson: Squaring Numbers Ending in 5 (2:22)
  • 5. Lesson: Exponent Laws - Part I (7:07)
  • 6. Question: Powers of 8 (1:12)
  • 7. Question: Is this fraction less than 1? (3:32)
  • 8. Lesson: Negative Exponents (5:20)
  • 9. Lesson: Exponent Laws - Part II (6:08)
  • 10. Question: Simplify Fraction with Powers (2:13)
  • 11. Lesson: Units Digit of Large Powers (3:28)
  • 12. Question: Units Digit of 53 to Power of 35 (3:51)
  • 13. Lesson: Introduction to Square Roots (6:12)
  • 14. Question: Root x Squared (1:53)
  • 15. Lesson: Other Roots (5:37)
  • 16. Question: The Powers of -0.5 (1:35)
  • 17. Lesson: Properties of Roots (2:51)
  • 18. Lesson: Simplifying Roots (6:16)
  • 19. Lesson: Operations with Roots (3:53)
  • 20. Question: Simplification with Cube Roots (1:02)
  • 21. Lesson: Fractional Exponents (3:32)
  • 22. Question: Bit of Everything (1:06)
  • 23. Lesson: Solving Equations with Exponents (4:36)
  • 24. Lesson: “Fixing” the Denominator (6:39)
  • 25. Question: Root in the Denominator (1:58)
  • 26. Question: Does the Power Equal 1? (1:38)
  • 27. Question: Cube Root of a Decimal (0:52)
  • 28. Question: Negative Decimal Exponent (0:48)
  • 29. Question: Equation with Powers of 11 (1:35)
  • 30. Question: x to the 7th Power (1:38)
  • 31. Question: Last Digit of a Large Product (1:27)
  • 32. Question: 2 and 3 with Exponent 7 (1:06)
  • 33. Question: Equivalent Powers (2:34)
  • 34. Question: Powers of 4 (1:08)
  • 35. Question: x with Powers of a, b and c (2:19)
  • 36. Question: Power of 5 (1:42)
Total viewing time for the GMAT Powers and Roots module: 113 minutes.

Additional Practice

Each of the above video lessons features a Reinforcement Activities box containing practice questions that are specifically related to the particular concepts covered in that lesson (e.g., the Introduction to Square Roots lesson). On the other hand, the links below will take you to practice questions that test a wide variety of questions under the general topic of Powers and Roots. Given this, you may find it beneficial to work on the questions below AFTER you’ve mastered the content in the Powers & Roots module above.

- Official GMAT Exponents/Powers questions - Problem Solving

- Official GMAT Exponents/Powers questions – Data Sufficiency 

- Official GMAT Roots questions - Problem Solving

- Official GMAT Roots questions – Data Sufficiency

 

Practice from the Official Guides

Official Guide for GMAT Review (2019 edition)

Problem Solving: 58, 81, 87, 103, 117, 147, 161, 189, 200, 203, 209, 213, 223

Data Sufficiency: 252, 259, 265, 299, 314, 342, 399

Official Guide for GMAT Review (2018 edition)

Problem Solving: 66, 68, 74, 90, 92, 112, 147, 161, 189, 200, 203, 209, 223

Data Sufficiency: 240, 243, 249, 255, 289, 308, 342, 370, 399

Official Guide for GMAT Review (2017 edition)

Problem Solving: 10, 28, 58, 77, 87, 95, 118, 128, 145, 164, 178, 185, 196, 198, 204, 208, 223

Data Sufficiency: 240, 243, 249, 255, 277, 327, 356, 361

Official Guide for GMAT Review (2016 edition)

Problem Solving: 7, 52, 57, 67, 78, 85, 105, 123, 128, 146, 163, 171, 183, 184, 188, 193, 204, 221      

Data Sufficiency: 11, 20, 41, 112, 117, 163, 164, 170, 173

Official Guide for GMAT Review (2015/13th edition)

Problem Solving: 9, 35, 52, 65, 100, 106, 111, 122, 146, 163, 170, 176,  180, 196, 217, 227

Data Sufficiency: 15, 52, 101, 157, 159, 169, 172

 

While answering practice questions from the Official Guide for GMAT Review (2019, 2018, 2017, 2016 or 2015), you can enter your responses directly into our downloadable Improvement Chart. This will help track your progress and identify areas of weakness.

Learning Guide

Our step-by-step Learning Guide will help direct your studies and ensure that you cover everything that the GMAT tests.

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