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Quotient rule for exponents: find the exponent

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

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

  1. Write 5⁵ ÷ 5⁹ as a single power of 5. What is the exponent?
  2. Write 7⁸ ÷ 7⁴ as a single power of 7. What is the exponent?
  3. Write 2⁹ ÷ 2⁸ as a single power of 2. What is the exponent?
  4. Write 10⁷ ÷ 10³ as a single power of 10. What is the exponent?
  5. Write 2¹² ÷ 2⁴ as a single power of 2. What is the exponent?
  6. Write 11⁹ ÷ 11⁹ as a single power of 11. What is the exponent?
  7. Write 11² ÷ 11¹² as a single power of 11. What is the exponent?
  8. Write 11⁴ ÷ 11⁵ as a single power of 11. What is the exponent?
  9. Write 10¹³ ÷ 10¹⁰ as a single power of 10. What is the exponent?
  10. Write 2¹⁴ ÷ 2⁵ as a single power of 2. What is the exponent?
  11. Write 6¹⁴ ÷ 6¹¹ as a single power of 6. What is the exponent?
  12. Write 5⁸ ÷ 5⁵ as a single power of 5. What is the exponent?
  13. Write 10⁶ ÷ 10⁸ as a single power of 10. What is the exponent?
  14. Write 6¹² ÷ 6³ as a single power of 6. What is the exponent?
  15. Write 6² ÷ 6⁷ as a single power of 6. What is the exponent?
  16. Write 11⁴ ÷ 11¹² as a single power of 11. What is the exponent?
  17. Write 11⁷ ÷ 11²¹ as a single power of 11. What is the exponent?
  18. Write 6⁴ ÷ 6²⁷ as a single power of 6. What is the exponent?
  19. Write 10⁷ ÷ 10⁶ as a single power of 10. What is the exponent?
  20. Write 2¹⁹ ÷ 2⁶ as a single power of 2. What is the exponent?
More free practice: fieldbooklearning.com/practice/grade-8/quotient-rule-for-exponents-find-the-exponent/

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Answer key: Quotient rule for exponents: find the exponent

  1. -4
  2. 4
  3. 1
  4. 4
  5. 8
  6. 0
  7. -10
  8. -1
  9. 3
  10. 9
  11. 3
  12. 3
  13. -2
  14. 9
  15. -5
  16. -8
  17. -14
  18. -23
  19. 1
  20. 13