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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 76 · 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 3²? =
  2. 2.Write 4.3 × 10⁻³ as a decimal. =
  3. 3.What is the value of 3³? =
  4. 4.8.7 × 10⁷ =
  5. 5.What is the value of 10¹ × 10⁻⁵? =
  6. 6.Write 2.4 × 10⁻² as a decimal. =
  7. 7.Write (3⁹)⁸ as a single power 3ⁿ. What is n?
  8. 8.Write 5¹⁰ ÷ 5³ as a single power 5ⁿ. What is n?
  9. 9.What is the value of 3⁴? =
  10. 10.What is the value of 9⁻¹ (as a fraction)? =
  11. 11.What is the value of 6⁻² (as a fraction)? =
  12. 12.3.2 × 10⁶ =
  13. 13.What is the value of 5¹ × 5⁻⁶? =
  14. 14.Write 650 in standard form as 6.5 × 10ⁿ. What is n?
  15. 15.What is the value of 2¹⁴? =
  16. 16.What is the value of (5/8)⁻¹? =
  17. 17.Write (3⁷)⁶ as a single power 3ⁿ. What is n?
  18. 18.What is the value of (5/6)⁻¹? =
  19. 19.What is the value of 9⁻³ (as a fraction)? =
  20. 20.Write 2⁷ × 2⁹ as a single power 2ⁿ. What is n?
  21. 21.8.7 × 10⁵ =
  22. 22.1.3 × 10³ =
  23. 23.Write 4.7 × 10⁻⁴ as a decimal. =
  24. 24.Write 8.1 × 10⁻² as a decimal. =
  25. 25.What is the value of 3¹⁰? =
  26. 26.What is the value of 2⁻⁹ (as a fraction)? =
  27. 27.Write (6⁷)² as a single power 6ⁿ. What is n?
  28. 28.6.9 × 10⁶ =
  29. 29.Write 2¹⁶ ÷ 2⁹ as a single power 2ⁿ. What is n?
  30. 30.Write 6.3 × 10⁻⁴ as a decimal. =
  31. 31.1.7 × 10² =
  32. 32.Write (3⁶)² as a single power 3ⁿ. What is n?
  33. 33.What is the value of 2⁻³ (as a fraction)? =
  34. 34.What is the value of 3⁹? =
  35. 35.1.8 × 10⁶ =
  36. 36.Write 9.7 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 5¹ × 5⁻³? =
  38. 38.Write 63,000 in standard form as 6.3 × 10ⁿ. What is n?
  39. 39.Write 6² × 6⁶ as a single power 6ⁿ. What is n?
  40. 40.What is the value of (1/6)⁻¹? =

Answer key

  1. 9
  2. 0.0043
  3. 27
  4. 87000000
  5. 1/10000
  6. 0.024
  7. 72
  8. 7
  9. 81
  10. 1/9
  11. 1/36
  12. 3200000
  13. 1/3125
  14. 2
  15. 16384
  16. 8/5
  17. 42
  18. 6/5
  19. 1/729
  20. 16
  21. 870000
  22. 1300
  23. 0.00047
  24. 0.081
  25. 59049
  26. 1/512
  27. 14
  28. 6900000
  29. 7
  30. 0.00063
  31. 170
  32. 12
  33. 1/8
  34. 19683
  35. 1800000
  36. 0.00097
  37. 1/25
  38. 4
  39. 8
  40. 6

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