GMAT Powers and Roots | GMAT Prep Now Online Course

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 (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 (13th edition)

Improvement Chart for the Official Guide (12th edition)