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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 972 · 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 4.5 × 10⁻² as a decimal. =
  2. 2.7.1 × 10⁶ =
  3. 3.What is the value of 7²? =
  4. 4.What is the value of 3²? =
  5. 5.What is the value of 10⁻² (as a fraction)? =
  6. 6.Write 2¹⁴ ÷ 2⁶ as a single power 2ⁿ. What is n?
  7. 7.What is the value of 2⁴ × 2⁻²? =
  8. 8.What is the value of (5/8)⁻¹? =
  9. 9.Write 6,900 in standard form as 6.9 × 10ⁿ. What is n?
  10. 10.What is the value of 2⁷? =
  11. 11.1.2 × 10⁴ =
  12. 12.Write 6³ × 6⁹ as a single power 6ⁿ. What is n?
  13. 13.Write (7⁷)² as a single power 7ⁿ. What is n?
  14. 14.What is the value of 6⁻¹ (as a fraction)? =
  15. 15.What is the value of 4⁻¹ (as a fraction)? =
  16. 16.What is the value of (1/5)⁻¹? =
  17. 17.What is the value of (2/7)⁻²? =
  18. 18.What is the value of 2⁴? =
  19. 19.Write 6.4 × 10⁻³ as a decimal. =
  20. 20.Write 3.6 × 10⁻² as a decimal. =
  21. 21.Write 6.9 × 10⁻³ as a decimal. =
  22. 22.What is the value of 4⁻³ (as a fraction)? =
  23. 23.What is the value of 2⁶ × 2⁻¹? =
  24. 24.What is the value of 2²? =
  25. 25.What is the value of 10⁵? =
  26. 26.Write 2³ × 2⁹ as a single power 2ⁿ. What is n?
  27. 27.Write 2.1 × 10⁻⁴ as a decimal. =
  28. 28.What is the value of 2⁶? =
  29. 29.5.8 × 10⁴ =
  30. 30.What is the value of 5⁷? =
  31. 31.Write 4⁶ × 4⁵ as a single power 4ⁿ. What is n?
  32. 32.Write 5.1 × 10⁻² as a decimal. =
  33. 33.Write (6⁹)⁷ as a single power 6ⁿ. What is n?
  34. 34.Write 8⁸ × 8⁵ as a single power 8ⁿ. What is n?
  35. 35.What is the value of 10⁶ × 10⁻²? =
  36. 36.What is the value of 5¹ × 5⁻²? =
  37. 37.Write (3⁹)⁴ as a single power 3ⁿ. What is n?
  38. 38.What is the value of 10¹ × 10⁻⁴? =
  39. 39.Write 3⁸ × 3⁵ as a single power 3ⁿ. What is n?
  40. 40.What is the value of 2⁵? =

Answer key

  1. 0.045
  2. 7100000
  3. 49
  4. 9
  5. 1/100
  6. 8
  7. 4
  8. 8/5
  9. 3
  10. 128
  11. 12000
  12. 12
  13. 14
  14. 1/6
  15. 1/4
  16. 5
  17. 49/4
  18. 16
  19. 0.0064
  20. 0.036
  21. 0.0069
  22. 1/64
  23. 32
  24. 4
  25. 100000
  26. 12
  27. 0.00021
  28. 64
  29. 58000
  30. 78125
  31. 11
  32. 0.051
  33. 63
  34. 13
  35. 10000
  36. 1/5
  37. 36
  38. 1/1000
  39. 13
  40. 32

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