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Exponent laws: product, quotient and power

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 (3⁵)⁴ as a single power of 3. What is the exponent?
  2. Write (7³)⁵ as a single power of 7. What is the exponent?
  3. Write (3⁴)³ as a single power of 3. What is the exponent?
  4. Write 10⁹ × 10⁸ as a single power of 10. What is the exponent?
  5. Write (2⁵)³ as a single power of 2. What is the exponent?
  6. Write 10⁶ × 10⁷ as a single power of 10. What is the exponent?
  7. Write (7⁶)³ as a single power of 7. What is the exponent?
  8. Write 7¹² ÷ 7⁷ as a single power of 7. What is the exponent?
  9. Write 6⁶ ÷ 6¹² as a single power of 6. What is the exponent?
  10. Write 5¹³ × 5⁴ as a single power of 5. What is the exponent?
  11. Write (10⁵)⁴ as a single power of 10. What is the exponent?
  12. Write (6⁴)³ as a single power of 6. What is the exponent?
  13. Write (4⁵)² as a single power of 4. What is the exponent?
  14. Write 6¹⁶ ÷ 6⁵ as a single power of 6. What is the exponent?
  15. Write (2⁶)⁴ as a single power of 2. What is the exponent?
  16. Write 6² ÷ 6³ as a single power of 6. What is the exponent?
  17. Write 7²⁶ × 7⁴ as a single power of 7. What is the exponent?
  18. Write 2¹⁸ × 2²⁷ as a single power of 2. What is the exponent?
  19. Write 5¹⁹ ÷ 5⁹ as a single power of 5. What is the exponent?
  20. Write 7² × 7⁷ as a single power of 7. What is the exponent?
More free practice: fieldbooklearning.com/au/practice/year-8/exponent-laws-product-quotient-and-power/

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

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Answer key: Exponent laws: product, quotient and power

  1. 20
  2. 15
  3. 12
  4. 17
  5. 15
  6. 13
  7. 18
  8. 5
  9. -6
  10. 17
  11. 20
  12. 12
  13. 10
  14. 11
  15. 24
  16. -1
  17. 30
  18. 45
  19. 10
  20. 9