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Evaluate powers of 10

Year 7 maths · Fieldbook Learning

Name ______________________ Date __________

Multiplying powers adds the exponents. Dividing subtracts them. A power of a power multiplies them.

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

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Answer key: Evaluate powers of 10

  1. 0
  2. -7
  3. 11
  4. 16
  5. -3
  6. 42
  7. 12
  8. 9
  9. 15
  10. 36
  11. 3
  12. 16
  13. 6
  14. 12
  15. 35
  16. 4
  17. 8
  18. 2
  19. 5
  20. 72