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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 367 · 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.Write 5.6 × 10⁻⁴ as a decimal. =
  2. 2.Write 2⁷ × 2⁵ as a single power 2ⁿ. What is n?
  3. 3.Write 3.2 × 10⁻¹ as a decimal. =
  4. 4.Write 1.2 × 10⁻² as a decimal. =
  5. 5.Write 3¹¹ ÷ 3⁷ as a single power 3ⁿ. What is n?
  6. 6.Write 3⁸ × 3³ as a single power 3ⁿ. What is n?
  7. 7.Write 2¹³ ÷ 2⁸ as a single power 2ⁿ. What is n?
  8. 8.1.4 × 10⁶ =
  9. 9.Write 8.2 × 10⁻³ as a decimal. =
  10. 10.What is the value of 8³? =
  11. 11.Write 6.8 × 10⁻¹ as a decimal. =
  12. 12.Write 2⁷ × 2⁹ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 9⁴? =
  14. 14.Write 8,700 in standard form as 8.7 × 10ⁿ. What is n?
  15. 15.What is the value of 3² × 3⁻¹? =
  16. 16.1.2 × 10⁵ =
  17. 17.Write 7,10,000 in standard form as 7.1 × 10ⁿ. What is n?
  18. 18.What is the value of 3⁴ × 3⁻⁶? =
  19. 19.Write 7.3 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 3²? =
  21. 21.5.8 × 10⁵ =
  22. 22.What is the value of (3/8)⁻²? =
  23. 23.What is the value of 2⁻¹ (as a fraction)? =
  24. 24.Write 18,00,000 in standard form as 1.8 × 10ⁿ. What is n?
  25. 25.Write 7¹⁴ ÷ 7⁵ as a single power 7ⁿ. What is n?
  26. 26.Write 9⁷ × 9⁴ as a single power 9ⁿ. What is n?
  27. 27.What is the value of (5/8)⁻²? =
  28. 28.What is the value of 5¹ × 5⁻¹? =
  29. 29.What is the value of 5⁴? =
  30. 30.Write 1,60,00,000 in standard form as 1.6 × 10ⁿ. What is n?
  31. 31.Write 6.6 × 10⁻¹ as a decimal. =
  32. 32.What is the value of 3³? =
  33. 33.What is the value of 10⁵ × 10⁻³? =
  34. 34.Write 7.5 × 10⁻³ as a decimal. =
  35. 35.What is the value of 2⁻³ (as a fraction)? =
  36. 36.What is the value of 2¹²? =
  37. 37.What is the value of 3⁸? =
  38. 38.What is the value of 2³? =
  39. 39.Write 8⁶ × 8³ as a single power 8ⁿ. What is n?
  40. 40.What is the value of (1/7)⁻²? =

Answer key

  1. 0.00056
  2. 12
  3. 0.32
  4. 0.012
  5. 4
  6. 11
  7. 5
  8. 1400000
  9. 0.0082
  10. 512
  11. 0.68
  12. 16
  13. 6561
  14. 3
  15. 3
  16. 120000
  17. 5
  18. 1/9
  19. 0.73
  20. 9
  21. 580000
  22. 64/9
  23. 1/2
  24. 6
  25. 9
  26. 11
  27. 64/25
  28. 1
  29. 625
  30. 7
  31. 0.66
  32. 27
  33. 100
  34. 0.0075
  35. 1/8
  36. 4096
  37. 6561
  38. 8
  39. 9
  40. 49

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