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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 967 · 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 10⁻³ (as a fraction)? =
  2. 2.Write 8.4 × 10⁻⁴ as a decimal. =
  3. 3.Write 7.7 × 10⁻¹ as a decimal. =
  4. 4.What is the value of 4⁶? =
  5. 5.What is the value of 3⁵ × 3⁻⁵? =
  6. 6.1.2 × 10² =
  7. 7.What is the value of (7/8)⁻²? =
  8. 8.What is the value of 2⁵? =
  9. 9.What is the value of 5⁴? =
  10. 10.What is the value of 4²? =
  11. 11.Write (2²)³ as a single power 2ⁿ. What is n?
  12. 12.Write 6.5 × 10⁻⁴ as a decimal. =
  13. 13.What is the value of 7⁻¹ (as a fraction)? =
  14. 14.Write 7,100 in standard form as 7.1 × 10ⁿ. What is n?
  15. 15.Write 7,800 in standard form as 7.8 × 10ⁿ. What is n?
  16. 16.What is the value of 8³? =
  17. 17.What is the value of 2⁵ × 2⁻²? =
  18. 18.Write 1.6 × 10⁻² as a decimal. =
  19. 19.What is the value of 6⁻³ (as a fraction)? =
  20. 20.Write 3.7 × 10⁻⁴ as a decimal. =
  21. 21.What is the value of 5⁻¹ (as a fraction)? =
  22. 22.What is the value of 2⁻⁵ (as a fraction)? =
  23. 23.What is the value of 3⁻⁵ (as a fraction)? =
  24. 24.4.3 × 10³ =
  25. 25.What is the value of 10⁴? =
  26. 26.What is the value of 5⁵ × 5⁻⁵? =
  27. 27.Write (2⁷)⁶ as a single power 2ⁿ. What is n?
  28. 28.Write 6.8 × 10⁻³ as a decimal. =
  29. 29.What is the value of (1/5)⁻¹? =
  30. 30.What is the value of (5/7)⁻¹? =
  31. 31.Write 7,40,000 in standard form as 7.4 × 10ⁿ. What is n?
  32. 32.What is the value of 6⁶? =
  33. 33.What is the value of 2² × 2⁻¹? =
  34. 34.5.6 × 10⁷ =
  35. 35.What is the value of (5/6)⁻²? =
  36. 36.Write 8,70,00,000 in standard form as 8.7 × 10ⁿ. What is n?
  37. 37.What is the value of 2⁻² (as a fraction)? =
  38. 38.Write (9²)⁸ as a single power 9ⁿ. What is n?
  39. 39.Write 5.6 × 10⁻¹ as a decimal. =
  40. 40.Write 6² × 6² as a single power 6ⁿ. What is n?

Answer key

  1. 1/1000
  2. 0.00084
  3. 0.77
  4. 4096
  5. 1
  6. 120
  7. 64/49
  8. 32
  9. 625
  10. 16
  11. 6
  12. 0.00065
  13. 1/7
  14. 3
  15. 3
  16. 512
  17. 8
  18. 0.016
  19. 1/216
  20. 0.00037
  21. 1/5
  22. 1/32
  23. 1/243
  24. 4300
  25. 10000
  26. 1
  27. 42
  28. 0.0068
  29. 5
  30. 7/5
  31. 5
  32. 46656
  33. 2
  34. 56000000
  35. 36/25
  36. 7
  37. 1/4
  38. 16
  39. 0.56
  40. 4

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