GMAT Tip

While it’s impossible to find the square root of negative numbers, it is possible to find the cube root of negative numbers.

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In the GMAT Powers and Roots module, you will learn all of the concepts, techniques and strategies needed to answer powers and rootsquestions on the GMAT. In particular, the GMAT Powers and Roots module covers the following topics:

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

Additional Practice

Practice the skills and GMAT-specific strategies you learned in this module by answering the following categorized questions for GMAT Powers and Roots:

Official Guide for GMAT Review (2015 edition or 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

Official Guide for GMAT Review (12th edition)
Problem Solving: 11, 28, 32, 46, 51, 54, 73, 98, 104, 108, 114, 117, 133, 164, 190, 216, 226

Data Sufficiency: 97, 151, 153, 169

Official Guide for GMAT Quantitative Review (2nd edition)
Problem Solving: 36, 47, 55, 74, 86, 96, 97, 163, 170

Data Sufficiency: 31, 51, 54, 79, 81, 113
 

Track your progress by entering answers directly into our free, downloadable GMAT Prep Now Improvement Chart for the Official Guide (2015 edition or 13th edition)

Improvement Chart for the Official Guide (12th edition)