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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 135 · 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 2⁻² (as a fraction)? =
  2. 2.What is the value of (1/7)⁻²? =
  3. 3.What is the value of 3³? =
  4. 4.Write 4⁵ × 4⁴ as a single power 4ⁿ. What is n?
  5. 5.What is the value of 2³ × 2⁻⁴? =
  6. 6.Write (5²)⁹ as a single power 5ⁿ. What is n?
  7. 7.What is the value of (2/5)⁻¹? =
  8. 8.What is the value of 6⁶? =
  9. 9.Write 7² × 7⁸ as a single power 7ⁿ. What is n?
  10. 10.What is the value of 3⁻² (as a fraction)? =
  11. 11.Write 35,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  12. 12.What is the value of 2²? =
  13. 13.Write 2¹⁰ ÷ 2⁵ as a single power 2ⁿ. What is n?
  14. 14.What is the value of 2² × 2⁻³? =
  15. 15.What is the value of 9²? =
  16. 16.What is the value of 6⁴? =
  17. 17.Write 70,000 in standard form as 7 × 10ⁿ. What is n?
  18. 18.What is the value of 9⁻¹ (as a fraction)? =
  19. 19.1.1 × 10³ =
  20. 20.4.5 × 10⁷ =
  21. 21.Write 8,20,00,000 in standard form as 8.2 × 10ⁿ. What is n?
  22. 22.What is the value of 7³? =
  23. 23.Write 7 × 10⁻¹ as a decimal. =
  24. 24.Write (2⁷)⁹ as a single power 2ⁿ. What is n?
  25. 25.Write 5.2 × 10⁻³ as a decimal. =
  26. 26.What is the value of 3⁶ × 3⁻¹? =
  27. 27.What is the value of 2⁻⁶ (as a fraction)? =
  28. 28.What is the value of 8⁵? =
  29. 29.What is the value of 2³ × 2⁻³? =
  30. 30.Write 9.9 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of (1/7)⁻¹? =
  32. 32.What is the value of 2¹⁶? =
  33. 33.What is the value of 4⁵? =
  34. 34.Write (6⁹)² as a single power 6ⁿ. What is n?
  35. 35.Write 79,00,000 in standard form as 7.9 × 10ⁿ. What is n?
  36. 36.Write 13,00,000 in standard form as 1.3 × 10ⁿ. What is n?
  37. 37.Write 4,40,00,000 in standard form as 4.4 × 10ⁿ. What is n?
  38. 38.Write 9.1 × 10⁻¹ as a decimal. =
  39. 39.Write 2⁶ × 2² as a single power 2ⁿ. What is n?
  40. 40.What is the value of 3²? =

Answer key

  1. 1/4
  2. 49
  3. 27
  4. 9
  5. 1/2
  6. 18
  7. 5/2
  8. 46656
  9. 10
  10. 1/9
  11. 6
  12. 4
  13. 5
  14. 1/2
  15. 81
  16. 1296
  17. 4
  18. 1/9
  19. 1100
  20. 45000000
  21. 7
  22. 343
  23. 0.7
  24. 63
  25. 0.0052
  26. 243
  27. 1/64
  28. 32768
  29. 1
  30. 0.00099
  31. 7
  32. 65536
  33. 1024
  34. 18
  35. 6
  36. 6
  37. 7
  38. 0.91
  39. 8
  40. 9

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