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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 902 · 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 6.6 × 10⁻² as a decimal. =
  2. 2.What is the value of 2⁶? =
  3. 3.What is the value of 4⁻⁴ (as a fraction)? =
  4. 4.Write 7 × 10⁻² as a decimal. =
  5. 5.8.7 × 10⁶ =
  6. 6.What is the value of 4⁻¹ (as a fraction)? =
  7. 7.Write (7⁹)² as a single power 7ⁿ. What is n?
  8. 8.Write 4.1 × 10⁻³ as a decimal. =
  9. 9.What is the value of (7/9)⁻²? =
  10. 10.What is the value of 2⁸? =
  11. 11.What is the value of 2⁻⁷ (as a fraction)? =
  12. 12.What is the value of 5⁻² (as a fraction)? =
  13. 13.What is the value of 2¹ × 2⁻¹? =
  14. 14.7.8 × 10³ =
  15. 15.Write 7,30,000 in standard form as 7.3 × 10ⁿ. What is n?
  16. 16.What is the value of 5² × 5⁻²? =
  17. 17.Write (3⁴)⁸ as a single power 3ⁿ. What is n?
  18. 18.Write 4.4 × 10⁻¹ as a decimal. =
  19. 19.Write (2⁸)⁶ as a single power 2ⁿ. What is n?
  20. 20.What is the value of 3⁶? =
  21. 21.What is the value of 2⁷? =
  22. 22.Write 6⁸ ÷ 6³ as a single power 6ⁿ. What is n?
  23. 23.What is the value of 10⁻¹ (as a fraction)? =
  24. 24.Write 5⁷ × 5³ as a single power 5ⁿ. What is n?
  25. 25.What is the value of (1/5)⁻¹? =
  26. 26.6 × 10⁷ =
  27. 27.5.4 × 10⁴ =
  28. 28.Write 1.9 × 10⁻¹ as a decimal. =
  29. 29.What is the value of 5³ × 5⁻¹? =
  30. 30.What is the value of (5/9)⁻²? =
  31. 31.Write 3.1 × 10⁻² as a decimal. =
  32. 32.What is the value of 6⁴? =
  33. 33.Write 6³ × 6³ as a single power 6ⁿ. What is n?
  34. 34.2.4 × 10⁵ =
  35. 35.What is the value of 10⁵ × 10⁻⁶? =
  36. 36.What is the value of 3¹ × 3⁻⁶? =
  37. 37.What is the value of 3³? =
  38. 38.What is the value of 2¹ × 2⁻²? =
  39. 39.What is the value of 2¹⁰? =
  40. 40.What is the value of 4⁷? =

Answer key

  1. 0.066
  2. 64
  3. 1/256
  4. 0.07
  5. 8700000
  6. 1/4
  7. 18
  8. 0.0041
  9. 81/49
  10. 256
  11. 1/128
  12. 1/25
  13. 1
  14. 7800
  15. 5
  16. 1
  17. 32
  18. 0.44
  19. 48
  20. 729
  21. 128
  22. 5
  23. 1/10
  24. 10
  25. 5
  26. 60000000
  27. 54000
  28. 0.19
  29. 25
  30. 81/25
  31. 0.031
  32. 1296
  33. 6
  34. 240000
  35. 1/10
  36. 1/243
  37. 27
  38. 1/2
  39. 1024
  40. 16384

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