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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 68 · 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.What is the value of 2²? =
  2. 2.7.9 × 10⁷ =
  3. 3.What is the value of 2⁵? =
  4. 4.Write 9,20,000 in standard form as 9.2 × 10ⁿ. What is n?
  5. 5.What is the value of 10² × 10⁻⁶? =
  6. 6.What is the value of 2³ × 2⁻⁵? =
  7. 7.Write 3⁵ × 3³ as a single power 3ⁿ. What is n?
  8. 8.Write 8⁴ × 8² as a single power 8ⁿ. What is n?
  9. 9.What is the value of 2⁶ × 2⁻⁶? =
  10. 10.What is the value of 5³? =
  11. 11.What is the value of 2⁻² (as a fraction)? =
  12. 12.Write 4⁵ × 4² as a single power 4ⁿ. What is n?
  13. 13.Write 9¹⁵ ÷ 9⁹ as a single power 9ⁿ. What is n?
  14. 14.Write 9.7 × 10⁻² as a decimal. =
  15. 15.Write 6.8 × 10⁻² as a decimal. =
  16. 16.Write 84,00,000 in standard form as 8.4 × 10ⁿ. What is n?
  17. 17.What is the value of 3⁴ × 3⁻⁵? =
  18. 18.Write 2¹⁴ ÷ 2⁵ as a single power 2ⁿ. What is n?
  19. 19.What is the value of 10⁻³ (as a fraction)? =
  20. 20.What is the value of 2⁻⁴ (as a fraction)? =
  21. 21.What is the value of 3⁻⁴ (as a fraction)? =
  22. 22.Write 7,200 in standard form as 7.2 × 10ⁿ. What is n?
  23. 23.What is the value of 3⁹? =
  24. 24.Write 51,000 in standard form as 5.1 × 10ⁿ. What is n?
  25. 25.Write 2,70,000 in standard form as 2.7 × 10ⁿ. What is n?
  26. 26.Write 3⁵ ÷ 3³ as a single power 3ⁿ. What is n?
  27. 27.What is the value of 4⁶? =
  28. 28.Write 5.2 × 10⁻¹ as a decimal. =
  29. 29.Write 6,40,00,000 in standard form as 6.4 × 10ⁿ. What is n?
  30. 30.What is the value of 3¹⁰? =
  31. 31.Write (2³)⁶ as a single power 2ⁿ. What is n?
  32. 32.What is the value of 10²? =
  33. 33.1.1 × 10² =
  34. 34.Write (2⁵)⁴ as a single power 2ⁿ. What is n?
  35. 35.Write 1.5 × 10⁻³ as a decimal. =
  36. 36.Write 650 in standard form as 6.5 × 10ⁿ. What is n?
  37. 37.9.5 × 10² =
  38. 38.What is the value of 2⁴? =
  39. 39.Write 1.5 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of 3³ × 3⁻¹? =

Answer key

  1. 4
  2. 79000000
  3. 32
  4. 5
  5. 1/10000
  6. 1/4
  7. 8
  8. 6
  9. 1
  10. 125
  11. 1/4
  12. 7
  13. 6
  14. 0.097
  15. 0.068
  16. 6
  17. 1/3
  18. 9
  19. 1/1000
  20. 1/16
  21. 1/81
  22. 3
  23. 19683
  24. 4
  25. 5
  26. 2
  27. 4096
  28. 0.52
  29. 7
  30. 59049
  31. 18
  32. 100
  33. 110
  34. 20
  35. 0.0015
  36. 2
  37. 950
  38. 16
  39. 0.00015
  40. 9

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