Create a free account now and get 3 full lessons, completely free. Get my 3 free lessons

Canada
Practise online insteadThe answer key prints on page 2.

Exponent rules

Grade 11 math · Fieldbook Learning

Name ______________________ Date __________

Multiplying adds exponents, dividing subtracts them, a power of a power multiplies them.

  1. Simplify x⁵ · x² to a single power of x. What is the exponent?
  2. Simplify x⁵ · x⁵ to a single power of x. What is the exponent?
  3. Simplify x² ÷ x⁵ to a single power of x. What is the exponent? (It can be negative.)
  4. Simplify (x⁶)² to a single power of x. What is the exponent?
  5. Simplify (x⁸)⁵ to a single power of x. What is the exponent?
  6. Simplify x⁹ ÷ x² to a single power of x. What is the exponent?
  7. Simplify (x³)⁷ to a single power of x. What is the exponent?
  8. Simplify x⁴ · x³ to a single power of x. What is the exponent?
  9. Simplify x⁴ ÷ x⁵ to a single power of x. What is the exponent? (It can be negative.)
  10. Simplify (x⁵)⁶ to a single power of x. What is the exponent?
  11. Simplify x⁴ · x⁷ to a single power of x. What is the exponent?
  12. Simplify x⁸ ÷ x⁶ to a single power of x. What is the exponent?
  13. Simplify x⁶ ÷ x³ to a single power of x. What is the exponent?
  14. Simplify x³ · x⁷ to a single power of x. What is the exponent?
  15. Simplify x⁹ ÷ x⁶ to a single power of x. What is the exponent?
  16. Simplify x⁹ · x³ to a single power of x. What is the exponent?
  17. Simplify x⁷ · x⁸ to a single power of x. What is the exponent?
  18. Simplify x⁹ · x⁵ to a single power of x. What is the exponent?
  19. Simplify (x⁹)⁶ to a single power of x. What is the exponent?
  20. Simplify x⁷ · x⁵ to a single power of x. What is the exponent?
More free practice: fieldbooklearning.com/ca/practice/grade-11/exponent-rules/

Play it as a quiz game

19 of these questions as multiple choice, with near-miss wrong answers, ready for Kahoot or Blooket.

  1. Download the game's own question template: in Kahoot, Add question → Import spreadsheet; in Blooket, Create a set → Spreadsheet import.
  2. Click the matching button below, then click the first empty question row of the template and paste.
  3. Save the template (Kahoot needs .xlsx, Blooket .csv) and upload it.
Download CSV

Answer key: Exponent rules

  1. 7
  2. 10
  3. -3
  4. 12
  5. 40
  6. 7
  7. 21
  8. 7
  9. -1
  10. 30
  11. 11
  12. 2
  13. 3
  14. 10
  15. 3
  16. 12
  17. 15
  18. 14
  19. 54
  20. 12