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Exponent rules

Year 11 maths · 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/au/practice/year-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.

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  2. Click the matching button below, then click the first empty question row of the template and paste.
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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