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Evaluate powers of whole numbers

Grade 6 math · Fieldbook Learning

Name ______________________ Date __________

An exponent counts how many times a number is multiplied by itself. Use that to find the exponent of the single power.

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

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Answer key: Evaluate powers of whole numbers

  1. 32
  2. 72
  3. 48
  4. 18
  5. 40
  6. 12
  7. 7
  8. 21
  9. 2
  10. 14
  11. 24
  12. 8
  13. 2
  14. 8
  15. 2
  16. 45
  17. -2
  18. -3
  19. 15
  20. 72