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

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 (2020 edition)

Problem Solving: 41, 53, 76, 103, 117, 147, 189, 200, 203, 209, 213, 223

Data Sufficiency: 252, 259, 265, 291, 302, 316, 348, 364, 398

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, you can enter your responses directly into our downloadable Improvement Chart. This will help track your progress and identify areas of weakness.

Study Guide

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

Study Guide

Change Playback Speed

You have the option of watching the videos at various speeds (25% faster, 50% faster, etc). To change the playback speed, click the settings icon on the right side of the video status bar.

GMAT Powers and Roots