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Exponent laws with negative exponents

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 (10⁻³)⁵ as a single power of 10. What is the exponent?
  2. Write (5³)⁴ as a single power of 5. What is the exponent?
  3. Write 10⁻² ÷ 10⁶ as a single power of 10. What is the exponent?
  4. Write 7⁻⁴ ÷ 7³ as a single power of 7. What is the exponent?
  5. Write 11⁹ ÷ 11⁻⁵ as a single power of 11. What is the exponent?
  6. Write 11⁻⁷ × 11⁸ as a single power of 11. What is the exponent?
  7. Write (7³)⁵ as a single power of 7. What is the exponent?
  8. Write 5⁻¹² ÷ 5⁻⁵ as a single power of 5. What is the exponent?
  9. Write (6¹)⁴ as a single power of 6. What is the exponent?
  10. Write 5⁻¹⁴ ÷ 5⁻¹¹ as a single power of 5. What is the exponent?
  11. Write 11⁻⁶ × 11⁵ as a single power of 11. What is the exponent?
  12. Write 11¹¹ ÷ 11⁻¹ as a single power of 11. What is the exponent?
  13. Write (9⁻²)⁴ as a single power of 9. What is the exponent?
  14. Write 11¹⁵ ÷ 11¹⁰ as a single power of 11. What is the exponent?
  15. Write (11⁵)⁵ as a single power of 11. What is the exponent?
  16. Write 6⁴ × 6⁻¹⁹ as a single power of 6. What is the exponent?
  17. Write 10²⁷ ÷ 10⁻² as a single power of 10. What is the exponent?
  18. Write (6¹)⁵ as a single power of 6. What is the exponent?
  19. Write 11⁻²⁸ ÷ 11⁻⁸ as a single power of 11. What is the exponent?
  20. Write 11⁻¹⁸ × 11¹¹ as a single power of 11. What is the exponent?
More free practice: fieldbooklearning.com/practice/grade-8/exponent-laws-with-negative-exponents/

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Answer key: Exponent laws with negative exponents

  1. -15
  2. 12
  3. -8
  4. -7
  5. 14
  6. 1
  7. 15
  8. -7
  9. 4
  10. -3
  11. -1
  12. 12
  13. -8
  14. 5
  15. 25
  16. -15
  17. 29
  18. 5
  19. -20
  20. -7