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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 867 · 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 (7/8)⁻¹? =
  3. 3.What is the value of 2³? =
  4. 4.What is the value of 5⁵ × 5⁻⁶? =
  5. 5.What is the value of 10⁵ × 10⁻⁶? =
  6. 6.Write (2⁵)³ as a single power 2ⁿ. What is n?
  7. 7.Write (8⁴)³ as a single power 8ⁿ. What is n?
  8. 8.Write 2² × 2³ as a single power 2ⁿ. What is n?
  9. 9.What is the value of 2¹⁶? =
  10. 10.What is the value of 2² × 2⁻¹? =
  11. 11.What is the value of 5⁻⁴ (as a fraction)? =
  12. 12.What is the value of (1/3)⁻¹? =
  13. 13.Write 7² × 7³ as a single power 7ⁿ. What is n?
  14. 14.Write 9² × 9⁵ as a single power 9ⁿ. What is n?
  15. 15.What is the value of 5⁴ × 5⁻⁶? =
  16. 16.What is the value of 9³? =
  17. 17.Write 3 × 10⁻¹ as a decimal. =
  18. 18.Write 1.5 × 10⁻³ as a decimal. =
  19. 19.Write (7³)⁸ as a single power 7ⁿ. What is n?
  20. 20.What is the value of 4²? =
  21. 21.Write 7.6 × 10⁻¹ as a decimal. =
  22. 22.What is the value of 5⁵ × 5⁻⁴? =
  23. 23.What is the value of 5⁷? =
  24. 24.What is the value of (1/6)⁻²? =
  25. 25.What is the value of (1/8)⁻²? =
  26. 26.Write 29,00,000 in standard form as 2.9 × 10ⁿ. What is n?
  27. 27.8.4 × 10⁷ =
  28. 28.What is the value of (4/5)⁻¹? =
  29. 29.What is the value of 3⁴ × 3⁻¹? =
  30. 30.What is the value of 3¹⁰? =
  31. 31.What is the value of 9⁴? =
  32. 32.What is the value of (4/5)⁻²? =
  33. 33.Write 9¹³ ÷ 9⁸ as a single power 9ⁿ. What is n?
  34. 34.Write 290 in standard form as 2.9 × 10ⁿ. What is n?
  35. 35.Write 6,80,00,000 in standard form as 6.8 × 10ⁿ. What is n?
  36. 36.What is the value of 2⁶? =
  37. 37.What is the value of (2/3)⁻¹? =
  38. 38.What is the value of (1/7)⁻¹? =
  39. 39.Write 7⁹ × 7² as a single power 7ⁿ. What is n?
  40. 40.What is the value of 10⁶ × 10⁻¹? =

Answer key

  1. 343
  2. 8/7
  3. 8
  4. 1/5
  5. 1/10
  6. 15
  7. 12
  8. 5
  9. 65536
  10. 2
  11. 1/625
  12. 3
  13. 5
  14. 7
  15. 1/25
  16. 729
  17. 0.3
  18. 0.0015
  19. 24
  20. 16
  21. 0.76
  22. 5
  23. 78125
  24. 36
  25. 64
  26. 6
  27. 84000000
  28. 5/4
  29. 27
  30. 59049
  31. 6561
  32. 25/16
  33. 5
  34. 2
  35. 7
  36. 64
  37. 3/2
  38. 7
  39. 11
  40. 100000

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