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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 659 · 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 8⁻¹ (as a fraction)? =
  2. 2.Write 6.2 × 10⁻¹ as a decimal. =
  3. 3.9.7 × 10⁷ =
  4. 4.Write (5⁹)³ as a single power 5ⁿ. What is n?
  5. 5.What is the value of 3⁵? =
  6. 6.What is the value of 10⁻³ (as a fraction)? =
  7. 7.5.4 × 10⁷ =
  8. 8.What is the value of 10⁶ × 10⁻⁵? =
  9. 9.1.6 × 10⁷ =
  10. 10.1.8 × 10³ =
  11. 11.What is the value of 2⁴ × 2⁻¹? =
  12. 12.Write (3⁶)² as a single power 3ⁿ. What is n?
  13. 13.What is the value of 2¹³? =
  14. 14.Write 2.7 × 10⁻² as a decimal. =
  15. 15.What is the value of (8/9)⁻²? =
  16. 16.Write 6.2 × 10⁻³ as a decimal. =
  17. 17.What is the value of 3⁷? =
  18. 18.Write 39,00,000 in standard form as 3.9 × 10ⁿ. What is n?
  19. 19.Write 9.1 × 10⁻³ as a decimal. =
  20. 20.What is the value of 10² × 10⁻¹? =
  21. 21.Write 1,40,000 in standard form as 1.4 × 10ⁿ. What is n?
  22. 22.What is the value of 3²? =
  23. 23.What is the value of 7⁴? =
  24. 24.Write (4⁸)⁴ as a single power 4ⁿ. What is n?
  25. 25.Write 8,40,00,000 in standard form as 8.4 × 10ⁿ. What is n?
  26. 26.What is the value of 10³ × 10⁻³? =
  27. 27.What is the value of (5/6)⁻¹? =
  28. 28.What is the value of 5³ × 5⁻⁴? =
  29. 29.3.9 × 10⁴ =
  30. 30.Write 3 × 10⁻² as a decimal. =
  31. 31.What is the value of 2⁶ × 2⁻¹? =
  32. 32.What is the value of 10¹ × 10⁻²? =
  33. 33.What is the value of 10⁶ × 10⁻²? =
  34. 34.What is the value of 2⁻⁷ (as a fraction)? =
  35. 35.What is the value of 9⁻² (as a fraction)? =
  36. 36.5.7 × 10⁷ =
  37. 37.What is the value of 10⁵ × 10⁻²? =
  38. 38.What is the value of 3³? =
  39. 39.What is the value of 5⁵ × 5⁻⁴? =
  40. 40.Write (3⁷)² as a single power 3ⁿ. What is n?

Answer key

  1. 1/8
  2. 0.62
  3. 97000000
  4. 27
  5. 243
  6. 1/1000
  7. 54000000
  8. 10
  9. 16000000
  10. 1800
  11. 8
  12. 12
  13. 8192
  14. 0.027
  15. 81/64
  16. 0.0062
  17. 2187
  18. 6
  19. 0.0091
  20. 10
  21. 5
  22. 9
  23. 2401
  24. 32
  25. 7
  26. 1
  27. 6/5
  28. 1/5
  29. 39000
  30. 0.03
  31. 32
  32. 1/10
  33. 10000
  34. 1/128
  35. 1/81
  36. 57000000
  37. 1000
  38. 27
  39. 5
  40. 14

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