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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 497 · 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 2³ × 2⁻⁶? =
  2. 2.What is the value of 9⁻² (as a fraction)? =
  3. 3.What is the value of 9²? =
  4. 4.What is the value of 3⁷? =
  5. 5.Write 2.4 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 6²? =
  7. 7.Write 7.8 × 10⁻¹ as a decimal. =
  8. 8.Write 2,60,00,000 in standard form as 2.6 × 10ⁿ. What is n?
  9. 9.Write 4.2 × 10⁻¹ as a decimal. =
  10. 10.Write 580 in standard form as 5.8 × 10ⁿ. What is n?
  11. 11.6.4 × 10⁵ =
  12. 12.Write (3⁹)⁵ as a single power 3ⁿ. What is n?
  13. 13.What is the value of 2⁻⁶ (as a fraction)? =
  14. 14.What is the value of 5³ × 5⁻²? =
  15. 15.7.1 × 10⁷ =
  16. 16.7.7 × 10³ =
  17. 17.What is the value of 2⁶ × 2⁻²? =
  18. 18.Write 36,000 in standard form as 3.6 × 10ⁿ. What is n?
  19. 19.What is the value of 10⁵? =
  20. 20.Write (8⁶)⁹ as a single power 8ⁿ. What is n?
  21. 21.What is the value of 3² × 3⁻⁶? =
  22. 22.What is the value of (3/4)⁻²? =
  23. 23.Write 2⁹ × 2² as a single power 2ⁿ. What is n?
  24. 24.What is the value of 2³? =
  25. 25.What is the value of (7/8)⁻²? =
  26. 26.Write 6.3 × 10⁻³ as a decimal. =
  27. 27.What is the value of 3¹ × 3⁻²? =
  28. 28.What is the value of 10³? =
  29. 29.What is the value of (1/8)⁻¹? =
  30. 30.Write 7.2 × 10⁻¹ as a decimal. =
  31. 31.What is the value of 4⁻⁴ (as a fraction)? =
  32. 32.Write 9.7 × 10⁻¹ as a decimal. =
  33. 33.What is the value of 8⁻³ (as a fraction)? =
  34. 34.Write 9.6 × 10⁻¹ as a decimal. =
  35. 35.What is the value of (3/5)⁻²? =
  36. 36.Write 4.1 × 10⁻⁴ as a decimal. =
  37. 37.4.5 × 10⁷ =
  38. 38.What is the value of 2² × 2⁻³? =
  39. 39.What is the value of 3⁶? =
  40. 40.What is the value of 3⁴ × 3⁻¹? =

Answer key

  1. 1/8
  2. 1/81
  3. 81
  4. 2187
  5. 0.24
  6. 36
  7. 0.78
  8. 7
  9. 0.42
  10. 2
  11. 640000
  12. 45
  13. 1/64
  14. 5
  15. 71000000
  16. 7700
  17. 16
  18. 4
  19. 100000
  20. 54
  21. 1/81
  22. 16/9
  23. 11
  24. 8
  25. 64/49
  26. 0.0063
  27. 1/3
  28. 1000
  29. 8
  30. 0.72
  31. 1/256
  32. 0.97
  33. 1/512
  34. 0.96
  35. 25/9
  36. 0.00041
  37. 45000000
  38. 1/2
  39. 729
  40. 27

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