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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 908 · 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 6.5 × 10⁻¹ as a decimal. =
  2. 2.2.4 × 10⁴ =
  3. 3.What is the value of 6⁶? =
  4. 4.What is the value of 5² × 5⁻⁴? =
  5. 5.What is the value of 6⁵? =
  6. 6.Write 4.7 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 7²? =
  8. 8.Write (5²)³ as a single power 5ⁿ. What is n?
  9. 9.What is the value of 2¹ × 2⁻⁵? =
  10. 10.Write 6.9 × 10⁻⁴ as a decimal. =
  11. 11.What is the value of 3⁻⁴ (as a fraction)? =
  12. 12.What is the value of 10⁻² (as a fraction)? =
  13. 13.Write 7.3 × 10⁻⁴ as a decimal. =
  14. 14.Write 6¹⁵ ÷ 6⁶ as a single power 6ⁿ. What is n?
  15. 15.What is the value of 5²? =
  16. 16.Write 6.3 × 10⁻³ as a decimal. =
  17. 17.3 × 10³ =
  18. 18.What is the value of 3⁻⁵ (as a fraction)? =
  19. 19.What is the value of 3⁷? =
  20. 20.What is the value of 10³? =
  21. 21.What is the value of 2⁵ × 2⁻³? =
  22. 22.Write 6⁴ × 6⁷ as a single power 6ⁿ. What is n?
  23. 23.What is the value of (8/9)⁻²? =
  24. 24.What is the value of 9³? =
  25. 25.What is the value of (1/3)⁻²? =
  26. 26.Write 9⁷ ÷ 9⁴ as a single power 9ⁿ. What is n?
  27. 27.What is the value of 4⁻⁴ (as a fraction)? =
  28. 28.What is the value of 3² × 3⁻⁵? =
  29. 29.Write 70,00,000 in standard form as 7 × 10ⁿ. What is n?
  30. 30.Write 8.9 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of 5⁴? =
  32. 32.What is the value of 6⁻¹ (as a fraction)? =
  33. 33.What is the value of (5/6)⁻¹? =
  34. 34.What is the value of (5/9)⁻¹? =
  35. 35.Write (2⁶)⁵ as a single power 2ⁿ. What is n?
  36. 36.Write 2.5 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 8³? =
  38. 38.Write (3⁹)⁶ as a single power 3ⁿ. What is n?
  39. 39.Write (7⁶)⁷ as a single power 7ⁿ. What is n?
  40. 40.What is the value of 7⁻³ (as a fraction)? =

Answer key

  1. 0.65
  2. 24000
  3. 46656
  4. 1/25
  5. 7776
  6. 0.47
  7. 49
  8. 6
  9. 1/16
  10. 0.00069
  11. 1/81
  12. 1/100
  13. 0.00073
  14. 9
  15. 25
  16. 0.0063
  17. 3000
  18. 1/243
  19. 2187
  20. 1000
  21. 4
  22. 11
  23. 81/64
  24. 729
  25. 9
  26. 3
  27. 1/256
  28. 1/27
  29. 6
  30. 0.00089
  31. 625
  32. 1/6
  33. 6/5
  34. 9/5
  35. 30
  36. 0.00025
  37. 512
  38. 54
  39. 42
  40. 1/343

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