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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 262 · 40 sums
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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.What is the value of 3⁹? =
  2. 2.What is the value of 7²? =
  3. 3.Write (7²)⁴ as a single power 7ⁿ. What is n?
  4. 4.What is the value of 5⁴? =
  5. 5.5.1 × 10⁶ =
  6. 6.Write 4.1 × 10⁻¹ as a decimal. =
  7. 7.Write 7,80,000 in standard form as 7.8 × 10ⁿ. What is n?
  8. 8.Write 5.3 × 10⁻² as a decimal. =
  9. 9.What is the value of 4³? =
  10. 10.Write 8.9 × 10⁻² as a decimal. =
  11. 11.6.4 × 10⁷ =
  12. 12.2.2 × 10² =
  13. 13.Write (3⁶)⁵ as a single power 3ⁿ. What is n?
  14. 14.What is the value of (5/8)⁻¹? =
  15. 15.What is the value of 3⁴ × 3⁻⁵? =
  16. 16.What is the value of (4/7)⁻¹? =
  17. 17.What is the value of 2⁹? =
  18. 18.What is the value of 2⁻⁶ (as a fraction)? =
  19. 19.Write 990 in standard form as 9.9 × 10ⁿ. What is n?
  20. 20.Write 7³ × 7⁹ as a single power 7ⁿ. What is n?
  21. 21.Write 54,00,000 in standard form as 5.4 × 10ⁿ. What is n?
  22. 22.What is the value of 3¹⁰? =
  23. 23.Write 5 × 10⁻³ as a decimal. =
  24. 24.Write (8²)⁷ as a single power 8ⁿ. What is n?
  25. 25.Write 8.8 × 10⁻² as a decimal. =
  26. 26.Write 6⁷ × 6⁵ as a single power 6ⁿ. What is n?
  27. 27.Write 3.1 × 10⁻¹ as a decimal. =
  28. 28.Write 8² × 8⁶ as a single power 8ⁿ. What is n?
  29. 29.Write 2⁸ × 2⁴ as a single power 2ⁿ. What is n?
  30. 30.What is the value of (4/9)⁻²? =
  31. 31.Write 87,000 in standard form as 8.7 × 10ⁿ. What is n?
  32. 32.What is the value of 3⁸? =
  33. 33.What is the value of (1/9)⁻¹? =
  34. 34.Write 5 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of 6⁵? =
  36. 36.What is the value of 2⁻⁴ (as a fraction)? =
  37. 37.Write 9⁵ × 9⁸ as a single power 9ⁿ. What is n?
  38. 38.What is the value of 4⁶? =
  39. 39.Write (5²)⁹ as a single power 5ⁿ. What is n?
  40. 40.What is the value of (2/9)⁻¹? =

Answer key

  1. 19683
  2. 49
  3. 8
  4. 625
  5. 5100000
  6. 0.41
  7. 5
  8. 0.053
  9. 64
  10. 0.089
  11. 64000000
  12. 220
  13. 30
  14. 8/5
  15. 1/3
  16. 7/4
  17. 512
  18. 1/64
  19. 2
  20. 12
  21. 6
  22. 59049
  23. 0.005
  24. 14
  25. 0.088
  26. 12
  27. 0.31
  28. 8
  29. 12
  30. 81/16
  31. 4
  32. 6561
  33. 9
  34. 0.0005
  35. 7776
  36. 1/16
  37. 13
  38. 4096
  39. 18
  40. 9/2

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