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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 928 · 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.What is the value of 7³? =
  2. 2.What is the value of 5⁴ × 5⁻⁴? =
  3. 3.What is the value of 10⁴ × 10⁻³? =
  4. 4.Write 5.1 × 10⁻⁴ as a decimal. =
  5. 5.What is the value of 2⁶ × 2⁻³? =
  6. 6.Write 5.7 × 10⁻⁴ as a decimal. =
  7. 7.Write (2⁵)² as a single power 2ⁿ. What is n?
  8. 8.2 × 10² =
  9. 9.Write 53,00,000 in standard form as 5.3 × 10ⁿ. What is n?
  10. 10.What is the value of 2⁸? =
  11. 11.What is the value of 2⁻⁸ (as a fraction)? =
  12. 12.3.6 × 10⁵ =
  13. 13.Write 7⁷ ÷ 7⁵ as a single power 7ⁿ. What is n?
  14. 14.Write 6.9 × 10⁻¹ as a decimal. =
  15. 15.Write (5⁵)² as a single power 5ⁿ. What is n?
  16. 16.What is the value of 2² × 2⁻⁶? =
  17. 17.What is the value of 10⁶ × 10⁻³? =
  18. 18.Write 5⁵ × 5⁴ as a single power 5ⁿ. What is n?
  19. 19.What is the value of 8⁻³ (as a fraction)? =
  20. 20.What is the value of 2⁵ × 2⁻⁵? =
  21. 21.Write 1.1 × 10⁻¹ as a decimal. =
  22. 22.9.6 × 10² =
  23. 23.Write 5⁸ × 5³ as a single power 5ⁿ. What is n?
  24. 24.What is the value of 2⁻³ (as a fraction)? =
  25. 25.What is the value of 5⁵? =
  26. 26.What is the value of 3⁻² (as a fraction)? =
  27. 27.Write 750 in standard form as 7.5 × 10ⁿ. What is n?
  28. 28.Write 3,10,00,000 in standard form as 3.1 × 10ⁿ. What is n?
  29. 29.What is the value of (4/7)⁻¹? =
  30. 30.Write 2² × 2² as a single power 2ⁿ. What is n?
  31. 31.Write 5.6 × 10⁻¹ as a decimal. =
  32. 32.Write 7,20,000 in standard form as 7.2 × 10ⁿ. What is n?
  33. 33.What is the value of 4⁵? =
  34. 34.What is the value of (5/8)⁻²? =
  35. 35.What is the value of 6⁶? =
  36. 36.4 × 10⁴ =
  37. 37.Write 4³ × 4² as a single power 4ⁿ. What is n?
  38. 38.What is the value of 3⁵ × 3⁻⁵? =
  39. 39.Write (3²)⁷ as a single power 3ⁿ. What is n?
  40. 40.Write 9.9 × 10⁻⁴ as a decimal. =

Answer key

  1. 343
  2. 1
  3. 10
  4. 0.00051
  5. 8
  6. 0.00057
  7. 10
  8. 200
  9. 6
  10. 256
  11. 1/256
  12. 360000
  13. 2
  14. 0.69
  15. 10
  16. 1/16
  17. 1000
  18. 9
  19. 1/512
  20. 1
  21. 0.11
  22. 960
  23. 11
  24. 1/8
  25. 3125
  26. 1/9
  27. 2
  28. 7
  29. 7/4
  30. 4
  31. 0.56
  32. 5
  33. 1024
  34. 64/25
  35. 46656
  36. 40000
  37. 5
  38. 1
  39. 14
  40. 0.00099

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