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Write a power as repeated multiplication

Year 7 maths · Fieldbook Learning

Name ______________________ Date __________

A power is repeated multiplication: x³ means x · x · x. Think of each power as a row of x's, then count how many x's are left.

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

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Answer key: Write a power as repeated multiplication

  1. 16
  2. 6
  3. 9
  4. 5
  5. 3
  6. 10
  7. 40
  8. 12
  9. 0
  10. 32
  11. 36
  12. 1
  13. 2
  14. 0
  15. 11
  16. 12
  17. 21
  18. 48
  19. 1
  20. 21