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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 395 · 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 8²? =
  2. 2.What is the value of (2/3)⁻¹? =
  3. 3.Write 9,50,00,000 in standard form as 9.5 × 10ⁿ. What is n?
  4. 4.What is the value of 7²? =
  5. 5.What is the value of 3⁵ × 3⁻⁵? =
  6. 6.What is the value of 4⁻² (as a fraction)? =
  7. 7.What is the value of 2¹⁰? =
  8. 8.What is the value of 9⁻² (as a fraction)? =
  9. 9.What is the value of 2¹⁶? =
  10. 10.Write (6⁶)⁹ as a single power 6ⁿ. What is n?
  11. 11.What is the value of 4⁻³ (as a fraction)? =
  12. 12.What is the value of 3³ × 3⁻⁴? =
  13. 13.2.9 × 10⁶ =
  14. 14.Write 3¹² ÷ 3⁸ as a single power 3ⁿ. What is n?
  15. 15.What is the value of 5¹ × 5⁻⁶? =
  16. 16.Write (8⁹)² as a single power 8ⁿ. What is n?
  17. 17.What is the value of 2⁶ × 2⁻³? =
  18. 18.What is the value of 2¹²? =
  19. 19.What is the value of 9⁻¹ (as a fraction)? =
  20. 20.What is the value of 2⁻⁵ (as a fraction)? =
  21. 21.What is the value of 6⁻² (as a fraction)? =
  22. 22.Write (2⁷)⁸ as a single power 2ⁿ. What is n?
  23. 23.What is the value of 3⁵ × 3⁻⁴? =
  24. 24.What is the value of (5/8)⁻¹? =
  25. 25.Write 7.9 × 10⁻³ as a decimal. =
  26. 26.What is the value of 2⁵? =
  27. 27.What is the value of (5/6)⁻²? =
  28. 28.What is the value of 2³ × 2⁻⁴? =
  29. 29.Write (7⁴)⁹ as a single power 7ⁿ. What is n?
  30. 30.What is the value of 10³ × 10⁻⁴? =
  31. 31.What is the value of 3⁷? =
  32. 32.Write 27,00,000 in standard form as 2.7 × 10ⁿ. What is n?
  33. 33.Write 2³ × 2⁸ as a single power 2ⁿ. What is n?
  34. 34.What is the value of 2¹³? =
  35. 35.What is the value of (3/8)⁻¹? =
  36. 36.8.9 × 10⁷ =
  37. 37.What is the value of 3¹⁰? =
  38. 38.4.1 × 10³ =
  39. 39.What is the value of 2¹ × 2⁻⁵? =
  40. 40.What is the value of 3¹ × 3⁻⁶? =

Answer key

  1. 64
  2. 3/2
  3. 7
  4. 49
  5. 1
  6. 1/16
  7. 1024
  8. 1/81
  9. 65536
  10. 54
  11. 1/64
  12. 1/3
  13. 2900000
  14. 4
  15. 1/3125
  16. 18
  17. 8
  18. 4096
  19. 1/9
  20. 1/32
  21. 1/36
  22. 56
  23. 3
  24. 8/5
  25. 0.0079
  26. 32
  27. 36/25
  28. 1/2
  29. 36
  30. 1/10
  31. 2187
  32. 6
  33. 11
  34. 8192
  35. 8/3
  36. 89000000
  37. 59049
  38. 4100
  39. 1/16
  40. 1/243

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