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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 710 · 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.Write 8.8 × 10⁻³ as a decimal. =
  2. 2.Write 7⁴ × 7⁷ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 5⁻³ (as a fraction)? =
  4. 4.What is the value of 4⁶? =
  5. 5.What is the value of 8⁴? =
  6. 6.Write 6¹² ÷ 6³ as a single power 6ⁿ. What is n?
  7. 7.3.6 × 10⁴ =
  8. 8.What is the value of (1/8)⁻¹? =
  9. 9.What is the value of 3⁶ × 3⁻¹? =
  10. 10.Write 4,90,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  11. 11.What is the value of 8²? =
  12. 12.Write 4.1 × 10⁻¹ as a decimal. =
  13. 13.What is the value of 4⁸? =
  14. 14.What is the value of 10⁶ × 10⁻⁵? =
  15. 15.What is the value of 3³? =
  16. 16.What is the value of 6³? =
  17. 17.Write (8⁹)⁴ as a single power 8ⁿ. What is n?
  18. 18.Write (4⁹)⁶ as a single power 4ⁿ. What is n?
  19. 19.Write 7¹³ ÷ 7⁷ as a single power 7ⁿ. What is n?
  20. 20.What is the value of 8⁵? =
  21. 21.What is the value of 4⁴? =
  22. 22.Write 7,400 in standard form as 7.4 × 10ⁿ. What is n?
  23. 23.What is the value of 5⁵? =
  24. 24.What is the value of 2⁻⁵ (as a fraction)? =
  25. 25.What is the value of 3⁵? =
  26. 26.What is the value of 10² × 10⁻³? =
  27. 27.Write 6.4 × 10⁻¹ as a decimal. =
  28. 28.Write 2.1 × 10⁻³ as a decimal. =
  29. 29.What is the value of 10²? =
  30. 30.Write 6¹⁸ ÷ 6⁹ as a single power 6ⁿ. What is n?
  31. 31.Write 3⁷ × 3³ as a single power 3ⁿ. What is n?
  32. 32.What is the value of (7/9)⁻¹? =
  33. 33.7.7 × 10⁶ =
  34. 34.What is the value of (1/8)⁻²? =
  35. 35.Write 9.3 × 10⁻¹ as a decimal. =
  36. 36.1.6 × 10⁴ =
  37. 37.What is the value of 2¹⁶? =
  38. 38.Write 3⁷ × 3⁹ as a single power 3ⁿ. What is n?
  39. 39.What is the value of (1/4)⁻¹? =
  40. 40.What is the value of 4²? =

Answer key

  1. 0.0088
  2. 11
  3. 1/125
  4. 4096
  5. 4096
  6. 9
  7. 36000
  8. 8
  9. 243
  10. 7
  11. 64
  12. 0.41
  13. 65536
  14. 10
  15. 27
  16. 216
  17. 36
  18. 54
  19. 6
  20. 32768
  21. 256
  22. 3
  23. 3125
  24. 1/32
  25. 243
  26. 1/10
  27. 0.64
  28. 0.0021
  29. 100
  30. 9
  31. 10
  32. 9/7
  33. 7700000
  34. 64
  35. 0.93
  36. 16000
  37. 65536
  38. 16
  39. 4
  40. 16

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