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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 39 · 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 (5/8)⁻²? =
  2. 2.Write 66,000 in standard form as 6.6 × 10ⁿ. What is n?
  3. 3.What is the value of 4⁷? =
  4. 4.What is the value of 2⁻⁶ (as a fraction)? =
  5. 5.Write 5¹⁷ ÷ 5⁹ as a single power 5ⁿ. What is n?
  6. 6.What is the value of 3⁶ × 3⁻²? =
  7. 7.6.9 × 10⁷ =
  8. 8.9.3 × 10² =
  9. 9.Write 5¹⁰ ÷ 5⁶ as a single power 5ⁿ. What is n?
  10. 10.What is the value of 2² × 2⁻²? =
  11. 11.What is the value of 5¹ × 5⁻⁵? =
  12. 12.Write 5.7 × 10⁻⁴ as a decimal. =
  13. 13.Write 1.8 × 10⁻³ as a decimal. =
  14. 14.Write 7⁵ × 7⁶ as a single power 7ⁿ. What is n?
  15. 15.Write 3⁷ × 3³ as a single power 3ⁿ. What is n?
  16. 16.What is the value of 2⁹? =
  17. 17.Write (3³)⁴ as a single power 3ⁿ. What is n?
  18. 18.Write 9.8 × 10⁻¹ as a decimal. =
  19. 19.Write 2,80,00,000 in standard form as 2.8 × 10ⁿ. What is n?
  20. 20.Write 6¹¹ ÷ 6⁵ as a single power 6ⁿ. What is n?
  21. 21.What is the value of 5²? =
  22. 22.4.4 × 10⁵ =
  23. 23.What is the value of 3⁵? =
  24. 24.Write 2.6 × 10⁻¹ as a decimal. =
  25. 25.Write 3.7 × 10⁻⁴ as a decimal. =
  26. 26.Write 1.2 × 10⁻⁴ as a decimal. =
  27. 27.What is the value of 3³ × 3⁻⁶? =
  28. 28.Write 2⁷ × 2⁴ as a single power 2ⁿ. What is n?
  29. 29.What is the value of 7³? =
  30. 30.What is the value of 2¹²? =
  31. 31.What is the value of 2⁻² (as a fraction)? =
  32. 32.What is the value of 3⁶ × 3⁻⁵? =
  33. 33.Write 3¹¹ ÷ 3⁹ as a single power 3ⁿ. What is n?
  34. 34.What is the value of 2¹ × 2⁻²? =
  35. 35.1.6 × 10² =
  36. 36.What is the value of 2⁸? =
  37. 37.What is the value of 3¹ × 3⁻⁴? =
  38. 38.What is the value of 10²? =
  39. 39.Write 6.4 × 10⁻³ as a decimal. =
  40. 40.What is the value of 2¹⁵? =

Answer key

  1. 64/25
  2. 4
  3. 16384
  4. 1/64
  5. 8
  6. 81
  7. 69000000
  8. 930
  9. 4
  10. 1
  11. 1/625
  12. 0.00057
  13. 0.0018
  14. 11
  15. 10
  16. 512
  17. 12
  18. 0.98
  19. 7
  20. 6
  21. 25
  22. 440000
  23. 243
  24. 0.26
  25. 0.00037
  26. 0.00012
  27. 1/27
  28. 11
  29. 343
  30. 4096
  31. 1/4
  32. 3
  33. 2
  34. 1/2
  35. 160
  36. 256
  37. 1/27
  38. 100
  39. 0.0064
  40. 32768

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