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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 96 · 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 6⁵? =
  2. 2.Write 3.2 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of 9³? =
  4. 4.What is the value of 3²? =
  5. 5.What is the value of 2⁵ × 2⁻¹? =
  6. 6.What is the value of 2⁴ × 2⁻⁵? =
  7. 7.Write 7.3 × 10⁻¹ as a decimal. =
  8. 8.What is the value of 7⁻² (as a fraction)? =
  9. 9.What is the value of (4/9)⁻²? =
  10. 10.Write 600 in standard form as 6 × 10ⁿ. What is n?
  11. 11.What is the value of 3⁻⁴ (as a fraction)? =
  12. 12.Write 2² × 2² as a single power 2ⁿ. What is n?
  13. 13.What is the value of 2¹ × 2⁻¹? =
  14. 14.What is the value of 2¹⁶? =
  15. 15.Write 3⁹ × 3⁴ as a single power 3ⁿ. What is n?
  16. 16.What is the value of 10² × 10⁻⁶? =
  17. 17.What is the value of 2⁻⁷ (as a fraction)? =
  18. 18.Write 2.3 × 10⁻⁴ as a decimal. =
  19. 19.What is the value of (5/9)⁻²? =
  20. 20.What is the value of 3⁴? =
  21. 21.Write 3.9 × 10⁻² as a decimal. =
  22. 22.What is the value of (3/8)⁻¹? =
  23. 23.6.7 × 10⁶ =
  24. 24.What is the value of 5³ × 5⁻⁴? =
  25. 25.What is the value of 2¹²? =
  26. 26.9.1 × 10⁶ =
  27. 27.Write 700 in standard form as 7 × 10ⁿ. What is n?
  28. 28.What is the value of 2⁻⁴ (as a fraction)? =
  29. 29.What is the value of 3⁴ × 3⁻⁵? =
  30. 30.Write 4 × 10⁻² as a decimal. =
  31. 31.What is the value of 2⁻¹ (as a fraction)? =
  32. 32.Write (8⁹)⁴ as a single power 8ⁿ. What is n?
  33. 33.What is the value of 2²? =
  34. 34.Write 7.5 × 10⁻³ as a decimal. =
  35. 35.Write 4.5 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 6⁶? =
  37. 37.Write 9,80,00,000 in standard form as 9.8 × 10ⁿ. What is n?
  38. 38.Write 9⁷ ÷ 9⁵ as a single power 9ⁿ. What is n?
  39. 39.Write 6.9 × 10⁻³ as a decimal. =
  40. 40.What is the value of 10² × 10⁻⁴? =

Answer key

  1. 7776
  2. 0.00032
  3. 729
  4. 9
  5. 16
  6. 1/2
  7. 0.73
  8. 1/49
  9. 81/16
  10. 2
  11. 1/81
  12. 4
  13. 1
  14. 65536
  15. 13
  16. 1/10000
  17. 1/128
  18. 0.00023
  19. 81/25
  20. 81
  21. 0.039
  22. 8/3
  23. 6700000
  24. 1/5
  25. 4096
  26. 9100000
  27. 2
  28. 1/16
  29. 1/3
  30. 0.04
  31. 1/2
  32. 36
  33. 4
  34. 0.0075
  35. 0.45
  36. 46656
  37. 7
  38. 2
  39. 0.0069
  40. 1/100

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