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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 20 · 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 3² × 3⁻⁴? =
  2. 2.What is the value of 2¹ × 2⁻⁵? =
  3. 3.What is the value of 5³? =
  4. 4.Write 2.2 × 10⁻³ as a decimal. =
  5. 5.Write 2.2 × 10⁻¹ as a decimal. =
  6. 6.Write 2.8 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 3⁴ × 3⁻²? =
  8. 8.Write 5¹⁴ ÷ 5⁷ as a single power 5ⁿ. What is n?
  9. 9.What is the value of 3⁸? =
  10. 10.3.8 × 10² =
  11. 11.Write 2 × 10⁻³ as a decimal. =
  12. 12.Write 87,00,000 in standard form as 8.7 × 10ⁿ. What is n?
  13. 13.What is the value of 3¹ × 3⁻³? =
  14. 14.What is the value of 3¹ × 3⁻¹? =
  15. 15.What is the value of 3¹ × 3⁻⁶? =
  16. 16.Write 7¹¹ ÷ 7⁹ as a single power 7ⁿ. What is n?
  17. 17.What is the value of 2⁴? =
  18. 18.1.4 × 10⁴ =
  19. 19.Write 4¹¹ ÷ 4⁴ as a single power 4ⁿ. What is n?
  20. 20.Write 2.3 × 10⁻⁴ as a decimal. =
  21. 21.What is the value of 5⁵ × 5⁻³? =
  22. 22.Write 8 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 2⁵ × 2⁻¹? =
  24. 24.Write 7⁸ × 7⁶ as a single power 7ⁿ. What is n?
  25. 25.What is the value of 10³? =
  26. 26.8.2 × 10⁴ =
  27. 27.What is the value of (1/2)⁻¹? =
  28. 28.What is the value of 5⁻² (as a fraction)? =
  29. 29.What is the value of 3²? =
  30. 30.What is the value of 3³? =
  31. 31.Write 3⁴ × 3² as a single power 3ⁿ. What is n?
  32. 32.What is the value of (1/6)⁻¹? =
  33. 33.2.9 × 10² =
  34. 34.Write 3.3 × 10⁻³ as a decimal. =
  35. 35.What is the value of (1/5)⁻²? =
  36. 36.7.4 × 10⁵ =
  37. 37.What is the value of 5⁵ × 5⁻²? =
  38. 38.What is the value of 7⁻² (as a fraction)? =
  39. 39.Write 2⁸ ÷ 2³ as a single power 2ⁿ. What is n?
  40. 40.What is the value of 8⁻¹ (as a fraction)? =

Answer key

  1. 1/9
  2. 1/16
  3. 125
  4. 0.0022
  5. 0.22
  6. 0.28
  7. 9
  8. 7
  9. 6561
  10. 380
  11. 0.002
  12. 6
  13. 1/9
  14. 1
  15. 1/243
  16. 2
  17. 16
  18. 14000
  19. 7
  20. 0.00023
  21. 25
  22. 0.8
  23. 16
  24. 14
  25. 1000
  26. 82000
  27. 2
  28. 1/25
  29. 9
  30. 27
  31. 6
  32. 6
  33. 290
  34. 0.0033
  35. 25
  36. 740000
  37. 125
  38. 1/49
  39. 5
  40. 1/8

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