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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 133 · 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 4⁸ ÷ 4³ as a single power 4ⁿ. What is n?
  2. 2.Write 7⁸ × 7⁵ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 2²? =
  4. 4.Write 4¹⁰ ÷ 4³ as a single power 4ⁿ. What is n?
  5. 5.Write 5.5 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 3³ × 3⁻³? =
  7. 7.Write 6.9 × 10⁻⁴ as a decimal. =
  8. 8.Write 9,90,000 in standard form as 9.9 × 10ⁿ. What is n?
  9. 9.What is the value of 6⁻³ (as a fraction)? =
  10. 10.Write 2.3 × 10⁻³ as a decimal. =
  11. 11.What is the value of 2¹⁰? =
  12. 12.What is the value of 5⁷? =
  13. 13.Write (4⁹)⁸ as a single power 4ⁿ. What is n?
  14. 14.Write 5.5 × 10⁻¹ as a decimal. =
  15. 15.Write 50,000 in standard form as 5 × 10ⁿ. What is n?
  16. 16.What is the value of 10⁴? =
  17. 17.Write 1.5 × 10⁻⁴ as a decimal. =
  18. 18.4.4 × 10⁷ =
  19. 19.What is the value of 3⁵? =
  20. 20.4.5 × 10⁵ =
  21. 21.What is the value of 10⁵ × 10⁻⁶? =
  22. 22.What is the value of 3⁸? =
  23. 23.Write 2¹² ÷ 2⁴ as a single power 2ⁿ. What is n?
  24. 24.What is the value of 2¹ × 2⁻⁵? =
  25. 25.Write (5⁹)⁷ as a single power 5ⁿ. What is n?
  26. 26.What is the value of 3⁴ × 3⁻⁶? =
  27. 27.What is the value of 8⁻² (as a fraction)? =
  28. 28.Write 3 × 10⁻² as a decimal. =
  29. 29.What is the value of (1/4)⁻²? =
  30. 30.What is the value of 6⁶? =
  31. 31.What is the value of 8⁻¹ (as a fraction)? =
  32. 32.Write (2⁷)³ as a single power 2ⁿ. What is n?
  33. 33.What is the value of 9⁵? =
  34. 34.What is the value of 2⁹? =
  35. 35.What is the value of 10⁵? =
  36. 36.What is the value of (4/5)⁻²? =
  37. 37.3.2 × 10⁶ =
  38. 38.Write 5¹⁰ ÷ 5² as a single power 5ⁿ. What is n?
  39. 39.Write 6.8 × 10⁻¹ as a decimal. =
  40. 40.Write 9.3 × 10⁻³ as a decimal. =

Answer key

  1. 5
  2. 13
  3. 4
  4. 7
  5. 0.00055
  6. 1
  7. 0.00069
  8. 5
  9. 1/216
  10. 0.0023
  11. 1024
  12. 78125
  13. 72
  14. 0.55
  15. 4
  16. 10000
  17. 0.00015
  18. 44000000
  19. 243
  20. 450000
  21. 1/10
  22. 6561
  23. 8
  24. 1/16
  25. 63
  26. 1/9
  27. 1/64
  28. 0.03
  29. 16
  30. 46656
  31. 1/8
  32. 21
  33. 59049
  34. 512
  35. 100000
  36. 25/16
  37. 3200000
  38. 8
  39. 0.68
  40. 0.0093

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