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Power of a power: find the exponent

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

Same base: add the exponents when multiplying, subtract when dividing, multiply when raising a power to a power.

  1. Write (7⁴)³ as a single power of 7. What is the exponent?
  2. Write (10⁶)² as a single power of 10. What is the exponent?
  3. Write (5²)⁴ as a single power of 5. What is the exponent?
  4. Write (3⁶)² as a single power of 3. What is the exponent?
  5. Write (11⁴)² as a single power of 11. What is the exponent?
  6. Write (3²)³ as a single power of 3. What is the exponent?
  7. Write (3⁴)⁵ as a single power of 3. What is the exponent?
  8. Write (7⁴)⁵ as a single power of 7. What is the exponent?
  9. Write (7²)⁴ as a single power of 7. What is the exponent?
  10. Write (10²)² as a single power of 10. What is the exponent?
  11. Write (2⁶)² as a single power of 2. What is the exponent?
  12. Write (11⁵)² as a single power of 11. What is the exponent?
  13. Write (2⁴)³ as a single power of 2. What is the exponent?
  14. Write (3⁶)⁴ as a single power of 3. What is the exponent?
  15. Write (5⁵)³ as a single power of 5. What is the exponent?
  16. Write (2²)⁴ as a single power of 2. What is the exponent?
  17. Write (9³)³ as a single power of 9. What is the exponent?
  18. Write (7⁶)³ as a single power of 7. What is the exponent?
  19. Write (5⁶)³ as a single power of 5. What is the exponent?
  20. Write (11²)² as a single power of 11. What is the exponent?
More free practice: fieldbooklearning.com/au/practice/year-8/power-of-a-power-find-the-exponent/

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

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Answer key: Power of a power: find the exponent

  1. 12
  2. 12
  3. 8
  4. 12
  5. 8
  6. 6
  7. 20
  8. 20
  9. 8
  10. 4
  11. 12
  12. 10
  13. 12
  14. 24
  15. 15
  16. 8
  17. 9
  18. 18
  19. 18
  20. 4