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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 711 · 40 sums
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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 2 × 10⁻¹ as a decimal. =
  2. 2.2.7 × 10⁶ =
  3. 3.What is the value of 7²? =
  4. 4.Write 3.2 × 10⁻¹ as a decimal. =
  5. 5.Write 9.6 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 8²? =
  7. 7.Write 1.6 × 10⁻² as a decimal. =
  8. 8.1.6 × 10³ =
  9. 9.Write 6² × 6³ as a single power 6ⁿ. What is n?
  10. 10.Write 7.4 × 10⁻³ as a decimal. =
  11. 11.What is the value of 3⁴ × 3⁻²? =
  12. 12.What is the value of 6⁵? =
  13. 13.Write 9² × 9⁶ as a single power 9ⁿ. What is n?
  14. 14.What is the value of 2⁷? =
  15. 15.Write 9⁶ × 9⁵ as a single power 9ⁿ. What is n?
  16. 16.What is the value of 4⁶? =
  17. 17.Write 1,60,00,000 in standard form as 1.6 × 10ⁿ. What is n?
  18. 18.What is the value of 2⁶ × 2⁻⁵? =
  19. 19.7.9 × 10⁶ =
  20. 20.9.2 × 10⁴ =
  21. 21.Write 5⁸ × 5⁶ as a single power 5ⁿ. What is n?
  22. 22.Write 2⁵ × 2⁷ as a single power 2ⁿ. What is n?
  23. 23.Write 4⁷ ÷ 4⁵ as a single power 4ⁿ. What is n?
  24. 24.What is the value of 5⁶ × 5⁻³? =
  25. 25.What is the value of 9⁻³ (as a fraction)? =
  26. 26.Write 6⁴ × 6⁴ as a single power 6ⁿ. What is n?
  27. 27.Write 1.5 × 10⁻⁴ as a decimal. =
  28. 28.What is the value of 2⁵ × 2⁻⁴? =
  29. 29.What is the value of 9⁴? =
  30. 30.What is the value of 2¹⁰? =
  31. 31.Write 6⁷ ÷ 6⁴ as a single power 6ⁿ. What is n?
  32. 32.4.8 × 10³ =
  33. 33.Write 3 × 10⁻⁴ as a decimal. =
  34. 34.What is the value of (5/8)⁻²? =
  35. 35.Write 42,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  36. 36.What is the value of 2³ × 2⁻⁵? =
  37. 37.Write 1.4 × 10⁻⁴ as a decimal. =
  38. 38.Write 64,00,000 in standard form as 6.4 × 10ⁿ. What is n?
  39. 39.Write 9.9 × 10⁻¹ as a decimal. =
  40. 40.What is the value of 3⁶ × 3⁻³? =

Answer key

  1. 0.2
  2. 2700000
  3. 49
  4. 0.32
  5. 0.00096
  6. 64
  7. 0.016
  8. 1600
  9. 5
  10. 0.0074
  11. 9
  12. 7776
  13. 8
  14. 128
  15. 11
  16. 4096
  17. 7
  18. 2
  19. 7900000
  20. 92000
  21. 14
  22. 12
  23. 2
  24. 125
  25. 1/729
  26. 8
  27. 0.00015
  28. 2
  29. 6561
  30. 1024
  31. 3
  32. 4800
  33. 0.0003
  34. 64/25
  35. 6
  36. 1/4
  37. 0.00014
  38. 6
  39. 0.99
  40. 27

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