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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 582 · 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 7⁴ × 7⁷ as a single power 7ⁿ. What is n?
  2. 2.What is the value of 3⁵ × 3⁻⁶? =
  3. 3.8.3 × 10⁷ =
  4. 4.What is the value of (4/9)⁻¹? =
  5. 5.What is the value of 2¹³? =
  6. 6.What is the value of 3⁻⁴ (as a fraction)? =
  7. 7.Write 23,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  8. 8.What is the value of 3³? =
  9. 9.Write 3,10,000 in standard form as 3.1 × 10ⁿ. What is n?
  10. 10.What is the value of 2¹²? =
  11. 11.Write (5³)⁴ as a single power 5ⁿ. What is n?
  12. 12.What is the value of 10³? =
  13. 13.Write 5.7 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of 7³? =
  15. 15.2.4 × 10⁶ =
  16. 16.What is the value of (5/8)⁻¹? =
  17. 17.Write 560 in standard form as 5.6 × 10ⁿ. What is n?
  18. 18.Write 2⁸ × 2⁷ as a single power 2ⁿ. What is n?
  19. 19.What is the value of 2⁸? =
  20. 20.8.9 × 10³ =
  21. 21.What is the value of 8³? =
  22. 22.What is the value of (1/3)⁻²? =
  23. 23.What is the value of (3/7)⁻²? =
  24. 24.What is the value of 4⁻³ (as a fraction)? =
  25. 25.Write 5.9 × 10⁻² as a decimal. =
  26. 26.What is the value of 10⁶ × 10⁻²? =
  27. 27.What is the value of 3² × 3⁻³? =
  28. 28.Write 6.3 × 10⁻³ as a decimal. =
  29. 29.What is the value of 2⁹? =
  30. 30.What is the value of 5⁶ × 5⁻⁵? =
  31. 31.2.6 × 10² =
  32. 32.What is the value of 5⁻² (as a fraction)? =
  33. 33.What is the value of (2/3)⁻¹? =
  34. 34.Write (7³)⁹ as a single power 7ⁿ. What is n?
  35. 35.What is the value of 2³? =
  36. 36.What is the value of 2⁶? =
  37. 37.Write 8.3 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of 5⁵? =
  39. 39.What is the value of 2¹⁴? =
  40. 40.Write 4.5 × 10⁻² as a decimal. =

Answer key

  1. 11
  2. 1/3
  3. 83000000
  4. 9/4
  5. 8192
  6. 1/81
  7. 6
  8. 27
  9. 5
  10. 4096
  11. 12
  12. 1000
  13. 0.00057
  14. 343
  15. 2400000
  16. 8/5
  17. 2
  18. 15
  19. 256
  20. 8900
  21. 512
  22. 9
  23. 49/9
  24. 1/64
  25. 0.059
  26. 10000
  27. 1/3
  28. 0.0063
  29. 512
  30. 5
  31. 260
  32. 1/25
  33. 3/2
  34. 27
  35. 8
  36. 64
  37. 0.00083
  38. 3125
  39. 16384
  40. 0.045

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