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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 31 · 40 sums
TalentJR

The method (Same base, work the powers): aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1. a⁻ⁿ = 1/aⁿ, and (a/b)⁻ⁿ = (b/a)ⁿ. Standard form: one digit before the point × a power of 10 — 4500000 = 4.5 × 10⁶. × 10⁻ⁿ moves the decimal point n places to the left: 2.5 × 10⁻³ = 0.0025.

NameDateTime takenScore ___ / 40
  1. 1.Write (2²)³ as a single power 2ⁿ. What is n?
  2. 2.What is the value of (1/2)⁻²? =
  3. 3.Write 2⁷ × 2⁶ as a single power 2ⁿ. What is n?
  4. 4.3 × 10⁶ =
  5. 5.4.2 × 10⁷ =
  6. 6.3.9 × 10² =
  7. 7.Write 3⁵ × 3⁴ as a single power 3ⁿ. What is n?
  8. 8.What is the value of 2¹ × 2⁻⁵? =
  9. 9.What is the value of 6²? =
  10. 10.Write (7³)⁸ as a single power 7ⁿ. What is n?
  11. 11.What is the value of 2⁸? =
  12. 12.What is the value of (4/5)⁻²? =
  13. 13.Write 4.2 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 2¹⁶? =
  15. 15.9.3 × 10³ =
  16. 16.What is the value of 2¹¹? =
  17. 17.What is the value of 5² × 5⁻⁴? =
  18. 18.What is the value of 10⁻¹ (as a fraction)? =
  19. 19.Write 1.9 × 10⁻¹ as a decimal. =
  20. 20.Write (9⁹)² as a single power 9ⁿ. What is n?
  21. 21.What is the value of (3/5)⁻²? =
  22. 22.Write 2¹⁰ ÷ 2⁸ as a single power 2ⁿ. What is n?
  23. 23.What is the value of 5⁵ × 5⁻²? =
  24. 24.8.8 × 10⁷ =
  25. 25.Write 8¹⁵ ÷ 8⁶ as a single power 8ⁿ. What is n?
  26. 26.What is the value of 3⁶? =
  27. 27.Write 3.3 × 10⁻² as a decimal. =
  28. 28.Write 2⁹ ÷ 2⁵ as a single power 2ⁿ. What is n?
  29. 29.Write 8.4 × 10⁻³ as a decimal. =
  30. 30.Write (2⁷)⁷ as a single power 2ⁿ. What is n?
  31. 31.What is the value of 9⁴? =
  32. 32.Write 3⁶ × 3⁵ as a single power 3ⁿ. What is n?
  33. 33.Write (3⁵)⁴ as a single power 3ⁿ. What is n?
  34. 34.What is the value of (5/9)⁻²? =
  35. 35.What is the value of 10⁵? =
  36. 36.What is the value of (2/7)⁻²? =
  37. 37.Write 3¹² ÷ 3⁴ as a single power 3ⁿ. What is n?
  38. 38.What is the value of 8⁵? =
  39. 39.What is the value of 3⁵ × 3⁻⁵? =
  40. 40.What is the value of 5² × 5⁻¹? =

Answer key

  1. 6
  2. 4
  3. 13
  4. 3000000
  5. 42000000
  6. 390
  7. 9
  8. 1/16
  9. 36
  10. 24
  11. 256
  12. 25/16
  13. 0.42
  14. 65536
  15. 9300
  16. 2048
  17. 1/25
  18. 1/10
  19. 0.19
  20. 18
  21. 25/9
  22. 2
  23. 125
  24. 88000000
  25. 9
  26. 729
  27. 0.033
  28. 4
  29. 0.0084
  30. 49
  31. 6561
  32. 11
  33. 20
  34. 81/25
  35. 100000
  36. 49/4
  37. 8
  38. 32768
  39. 1
  40. 5

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