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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 455 · 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 (3/4)⁻¹? =
  2. 2.What is the value of 5⁴? =
  3. 3.What is the value of 10⁻² (as a fraction)? =
  4. 4.Write 5² × 5² as a single power 5ⁿ. What is n?
  5. 5.Write 5.7 × 10⁻² as a decimal. =
  6. 6.What is the value of 2¹²? =
  7. 7.What is the value of 3³? =
  8. 8.What is the value of 6⁴? =
  9. 9.What is the value of (1/2)⁻²? =
  10. 10.What is the value of 4³? =
  11. 11.What is the value of (2/5)⁻¹? =
  12. 12.What is the value of 2⁹? =
  13. 13.What is the value of 4⁻⁴ (as a fraction)? =
  14. 14.1.2 × 10² =
  15. 15.Write 6.4 × 10⁻² as a decimal. =
  16. 16.Write 3,30,00,000 in standard form as 3.3 × 10ⁿ. What is n?
  17. 17.7.5 × 10² =
  18. 18.Write 2⁶ × 2³ as a single power 2ⁿ. What is n?
  19. 19.What is the value of (5/7)⁻¹? =
  20. 20.Write 4⁷ × 4⁷ as a single power 4ⁿ. What is n?
  21. 21.What is the value of 3⁴? =
  22. 22.Write 4,70,000 in standard form as 4.7 × 10ⁿ. What is n?
  23. 23.Write 3.5 × 10⁻³ as a decimal. =
  24. 24.4.9 × 10⁷ =
  25. 25.Write 9.5 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 2⁷? =
  27. 27.What is the value of 5³? =
  28. 28.What is the value of 10² × 10⁻¹? =
  29. 29.9.7 × 10⁷ =
  30. 30.Write (4³)² as a single power 4ⁿ. What is n?
  31. 31.Write 3⁵ × 3⁴ as a single power 3ⁿ. What is n?
  32. 32.What is the value of 2⁵? =
  33. 33.Write 7⁶ ÷ 7² as a single power 7ⁿ. What is n?
  34. 34.What is the value of 7³? =
  35. 35.What is the value of 3¹ × 3⁻¹? =
  36. 36.Write 4.4 × 10⁻² as a decimal. =
  37. 37.Write (3⁶)⁹ as a single power 3ⁿ. What is n?
  38. 38.What is the value of 10¹ × 10⁻⁴? =
  39. 39.Write 2,700 in standard form as 2.7 × 10ⁿ. What is n?
  40. 40.What is the value of 3³ × 3⁻¹? =

Answer key

  1. 4/3
  2. 625
  3. 1/100
  4. 4
  5. 0.057
  6. 4096
  7. 27
  8. 1296
  9. 4
  10. 64
  11. 5/2
  12. 512
  13. 1/256
  14. 120
  15. 0.064
  16. 7
  17. 750
  18. 9
  19. 7/5
  20. 14
  21. 81
  22. 5
  23. 0.0035
  24. 49000000
  25. 0.95
  26. 128
  27. 125
  28. 10
  29. 97000000
  30. 6
  31. 9
  32. 32
  33. 4
  34. 343
  35. 1
  36. 0.044
  37. 54
  38. 1/1000
  39. 3
  40. 9

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