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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 576 · 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 4⁷? =
  2. 2.What is the value of 4⁻⁴ (as a fraction)? =
  3. 3.What is the value of 10²? =
  4. 4.3 × 10⁶ =
  5. 5.Write 3.5 × 10⁻² as a decimal. =
  6. 6.Write 71,000 in standard form as 7.1 × 10ⁿ. What is n?
  7. 7.What is the value of 2³ × 2⁻⁵? =
  8. 8.Write (8⁹)³ as a single power 8ⁿ. What is n?
  9. 9.Write 9⁷ ÷ 9² as a single power 9ⁿ. What is n?
  10. 10.Write 5.6 × 10⁻³ as a decimal. =
  11. 11.What is the value of 5³? =
  12. 12.Write 5,400 in standard form as 5.4 × 10ⁿ. What is n?
  13. 13.What is the value of 5²? =
  14. 14.Write 8,90,00,000 in standard form as 8.9 × 10ⁿ. What is n?
  15. 15.2.6 × 10⁵ =
  16. 16.Write 6.3 × 10⁻⁴ as a decimal. =
  17. 17.Write 9 × 10⁻³ as a decimal. =
  18. 18.What is the value of 9³? =
  19. 19.Write 1,20,000 in standard form as 1.2 × 10ⁿ. What is n?
  20. 20.Write 1.2 × 10⁻⁴ as a decimal. =
  21. 21.What is the value of 3³? =
  22. 22.What is the value of 2¹⁰? =
  23. 23.What is the value of 6³? =
  24. 24.What is the value of 4⁻³ (as a fraction)? =
  25. 25.What is the value of (1/2)⁻¹? =
  26. 26.Write 8.4 × 10⁻³ as a decimal. =
  27. 27.What is the value of 2² × 2⁻⁵? =
  28. 28.What is the value of 10¹ × 10⁻⁴? =
  29. 29.What is the value of 2⁴? =
  30. 30.What is the value of 5² × 5⁻⁶? =
  31. 31.6.7 × 10⁷ =
  32. 32.What is the value of (1/4)⁻¹? =
  33. 33.What is the value of 4⁻¹ (as a fraction)? =
  34. 34.Write 2,80,00,000 in standard form as 2.8 × 10ⁿ. What is n?
  35. 35.Write 3.9 × 10⁻³ as a decimal. =
  36. 36.Write 86,000 in standard form as 8.6 × 10ⁿ. What is n?
  37. 37.Write 3.5 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of 7⁴? =
  39. 39.Write 3 × 10⁻¹ as a decimal. =
  40. 40.What is the value of 8⁻³ (as a fraction)? =

Answer key

  1. 16384
  2. 1/256
  3. 100
  4. 3000000
  5. 0.035
  6. 4
  7. 1/4
  8. 27
  9. 5
  10. 0.0056
  11. 125
  12. 3
  13. 25
  14. 7
  15. 260000
  16. 0.00063
  17. 0.009
  18. 729
  19. 5
  20. 0.00012
  21. 27
  22. 1024
  23. 216
  24. 1/64
  25. 2
  26. 0.0084
  27. 1/8
  28. 1/1000
  29. 16
  30. 1/625
  31. 67000000
  32. 4
  33. 1/4
  34. 7
  35. 0.0039
  36. 4
  37. 0.00035
  38. 2401
  39. 0.3
  40. 1/512

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