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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 14 · 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 (2³)⁸ as a single power 2ⁿ. What is n?
  2. 2.What is the value of 2²? =
  3. 3.What is the value of 8⁵? =
  4. 4.What is the value of (2/9)⁻²? =
  5. 5.Write (8³)³ as a single power 8ⁿ. What is n?
  6. 6.4.2 × 10⁶ =
  7. 7.Write 9.8 × 10⁻³ as a decimal. =
  8. 8.What is the value of 9⁴? =
  9. 9.What is the value of 2¹²? =
  10. 10.Write 7.9 × 10⁻⁴ as a decimal. =
  11. 11.Write 8.7 × 10⁻¹ as a decimal. =
  12. 12.What is the value of 3⁻⁵ (as a fraction)? =
  13. 13.Write 8,700 in standard form as 8.7 × 10ⁿ. What is n?
  14. 14.1.1 × 10³ =
  15. 15.Write 31,00,000 in standard form as 3.1 × 10ⁿ. What is n?
  16. 16.2.1 × 10² =
  17. 17.Write 6¹² ÷ 6⁸ as a single power 6ⁿ. What is n?
  18. 18.What is the value of 9²? =
  19. 19.What is the value of 5⁴? =
  20. 20.What is the value of 3¹ × 3⁻²? =
  21. 21.Write 8.3 × 10⁻² as a decimal. =
  22. 22.3.1 × 10⁷ =
  23. 23.Write 8 × 10⁻¹ as a decimal. =
  24. 24.Write 6.9 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 2⁸? =
  26. 26.Write 7.4 × 10⁻² as a decimal. =
  27. 27.Write 2³ × 2⁴ as a single power 2ⁿ. What is n?
  28. 28.Write 2.8 × 10⁻⁴ as a decimal. =
  29. 29.Write 7⁷ × 7⁴ as a single power 7ⁿ. What is n?
  30. 30.What is the value of (1/6)⁻¹? =
  31. 31.What is the value of 3² × 3⁻³? =
  32. 32.What is the value of 5⁵ × 5⁻⁶? =
  33. 33.4.3 × 10³ =
  34. 34.Write 82,00,000 in standard form as 8.2 × 10ⁿ. What is n?
  35. 35.8.5 × 10⁵ =
  36. 36.Write 9¹⁵ ÷ 9⁸ as a single power 9ⁿ. What is n?
  37. 37.Write 2,300 in standard form as 2.3 × 10ⁿ. What is n?
  38. 38.What is the value of 5³ × 5⁻⁵? =
  39. 39.Write 9.5 × 10⁻² as a decimal. =
  40. 40.What is the value of 7³? =

Answer key

  1. 24
  2. 4
  3. 32768
  4. 81/4
  5. 9
  6. 4200000
  7. 0.0098
  8. 6561
  9. 4096
  10. 0.00079
  11. 0.87
  12. 1/243
  13. 3
  14. 1100
  15. 6
  16. 210
  17. 4
  18. 81
  19. 625
  20. 1/3
  21. 0.083
  22. 31000000
  23. 0.8
  24. 0.69
  25. 256
  26. 0.074
  27. 7
  28. 0.00028
  29. 11
  30. 6
  31. 1/3
  32. 1/5
  33. 4300
  34. 6
  35. 850000
  36. 7
  37. 3
  38. 1/25
  39. 0.095
  40. 343

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