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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 826 · 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 2⁻⁵ (as a fraction)? =
  2. 2.Write 9.3 × 10⁻¹ as a decimal. =
  3. 3.Write (2⁵)⁸ as a single power 2ⁿ. What is n?
  4. 4.Write 1.8 × 10⁻¹ as a decimal. =
  5. 5.Write 7⁹ × 7⁷ as a single power 7ⁿ. What is n?
  6. 6.Write 1.4 × 10⁻⁴ as a decimal. =
  7. 7.Write (9⁷)⁶ as a single power 9ⁿ. What is n?
  8. 8.Write 4.6 × 10⁻³ as a decimal. =
  9. 9.4.9 × 10⁵ =
  10. 10.What is the value of 3¹ × 3⁻⁵? =
  11. 11.What is the value of 9⁴? =
  12. 12.What is the value of 9²? =
  13. 13.What is the value of 10⁴ × 10⁻¹? =
  14. 14.Write (4³)⁸ as a single power 4ⁿ. What is n?
  15. 15.Write 5.5 × 10⁻⁴ as a decimal. =
  16. 16.Write 6.1 × 10⁻² as a decimal. =
  17. 17.What is the value of 3⁸? =
  18. 18.What is the value of (1/5)⁻¹? =
  19. 19.What is the value of 6⁻¹ (as a fraction)? =
  20. 20.What is the value of 2⁵ × 2⁻⁴? =
  21. 21.What is the value of 4⁷? =
  22. 22.What is the value of 10³? =
  23. 23.What is the value of 3¹ × 3⁻³? =
  24. 24.What is the value of 3⁻⁴ (as a fraction)? =
  25. 25.What is the value of 5⁵? =
  26. 26.Write 4,00,000 in standard form as 4 × 10ⁿ. What is n?
  27. 27.What is the value of 3⁻⁵ (as a fraction)? =
  28. 28.Write 6.5 × 10⁻¹ as a decimal. =
  29. 29.Write 6.9 × 10⁻⁴ as a decimal. =
  30. 30.What is the value of 6³? =
  31. 31.Write 2⁴ × 2⁹ as a single power 2ⁿ. What is n?
  32. 32.Write (4⁷)⁹ as a single power 4ⁿ. What is n?
  33. 33.Write 73,00,000 in standard form as 7.3 × 10ⁿ. What is n?
  34. 34.What is the value of 7³? =
  35. 35.What is the value of 2⁻² (as a fraction)? =
  36. 36.3.3 × 10³ =
  37. 37.Write 9.7 × 10⁻¹ as a decimal. =
  38. 38.5.8 × 10⁴ =
  39. 39.What is the value of 8⁵? =
  40. 40.What is the value of 10³ × 10⁻⁶? =

Answer key

  1. 1/32
  2. 0.93
  3. 40
  4. 0.18
  5. 16
  6. 0.00014
  7. 42
  8. 0.0046
  9. 490000
  10. 1/81
  11. 6561
  12. 81
  13. 1000
  14. 24
  15. 0.00055
  16. 0.061
  17. 6561
  18. 5
  19. 1/6
  20. 2
  21. 16384
  22. 1000
  23. 1/9
  24. 1/81
  25. 3125
  26. 5
  27. 1/243
  28. 0.65
  29. 0.00069
  30. 216
  31. 13
  32. 63
  33. 6
  34. 343
  35. 1/4
  36. 3300
  37. 0.97
  38. 58000
  39. 32768
  40. 1/1000

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