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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 155 · 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 10¹ × 10⁻³? =
  2. 2.Write (7³)⁹ as a single power 7ⁿ. What is n?
  3. 3.9.8 × 10⁴ =
  4. 4.What is the value of 10⁵ × 10⁻⁵? =
  5. 5.Write 8.4 × 10⁻² as a decimal. =
  6. 6.What is the value of (4/5)⁻²? =
  7. 7.What is the value of 3⁶ × 3⁻⁶? =
  8. 8.What is the value of 3³? =
  9. 9.What is the value of 6²? =
  10. 10.What is the value of 5⁶? =
  11. 11.1.8 × 10⁷ =
  12. 12.What is the value of (2/3)⁻¹? =
  13. 13.What is the value of (1/6)⁻²? =
  14. 14.Write 2.8 × 10⁻³ as a decimal. =
  15. 15.What is the value of 2⁷? =
  16. 16.What is the value of 7⁵? =
  17. 17.Write 44,000 in standard form as 4.4 × 10ⁿ. What is n?
  18. 18.Write 7¹⁰ ÷ 7⁷ as a single power 7ⁿ. What is n?
  19. 19.Write (8⁷)² as a single power 8ⁿ. What is n?
  20. 20.What is the value of 4³? =
  21. 21.What is the value of 10⁻¹ (as a fraction)? =
  22. 22.What is the value of (1/6)⁻¹? =
  23. 23.Write 8.6 × 10⁻³ as a decimal. =
  24. 24.Write 2¹³ ÷ 2⁷ as a single power 2ⁿ. What is n?
  25. 25.What is the value of 5⁶ × 5⁻²? =
  26. 26.Write 6.8 × 10⁻⁴ as a decimal. =
  27. 27.6.5 × 10⁶ =
  28. 28.What is the value of 2⁹? =
  29. 29.What is the value of 5⁴ × 5⁻⁶? =
  30. 30.Write 8.3 × 10⁻³ as a decimal. =
  31. 31.Write 8⁹ × 8⁵ as a single power 8ⁿ. What is n?
  32. 32.Write 5¹⁰ ÷ 5⁴ as a single power 5ⁿ. What is n?
  33. 33.What is the value of 2⁻⁹ (as a fraction)? =
  34. 34.What is the value of (7/9)⁻¹? =
  35. 35.What is the value of 10⁶ × 10⁻⁶? =
  36. 36.What is the value of 10³ × 10⁻¹? =
  37. 37.Write 3.4 × 10⁻² as a decimal. =
  38. 38.Write 20,00,000 in standard form as 2 × 10ⁿ. What is n?
  39. 39.What is the value of 2⁵ × 2⁻²? =
  40. 40.What is the value of 9⁵? =

Answer key

  1. 1/100
  2. 27
  3. 98000
  4. 1
  5. 0.084
  6. 25/16
  7. 1
  8. 27
  9. 36
  10. 15625
  11. 18000000
  12. 3/2
  13. 36
  14. 0.0028
  15. 128
  16. 16807
  17. 4
  18. 3
  19. 14
  20. 64
  21. 1/10
  22. 6
  23. 0.0086
  24. 6
  25. 625
  26. 0.00068
  27. 6500000
  28. 512
  29. 1/25
  30. 0.0083
  31. 14
  32. 6
  33. 1/512
  34. 9/7
  35. 1
  36. 100
  37. 0.034
  38. 6
  39. 8
  40. 59049

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