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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 394 · 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 5⁶? =
  2. 2.What is the value of 2⁶ × 2⁻⁶? =
  3. 3.Write 2 × 10⁻⁴ as a decimal. =
  4. 4.5.4 × 10² =
  5. 5.3 × 10⁶ =
  6. 6.What is the value of 10² × 10⁻¹? =
  7. 7.Write 3² × 3³ as a single power 3ⁿ. What is n?
  8. 8.1.8 × 10² =
  9. 9.Write 5.7 × 10⁻⁴ as a decimal. =
  10. 10.What is the value of 2¹ × 2⁻¹? =
  11. 11.Write 3⁹ ÷ 3² as a single power 3ⁿ. What is n?
  12. 12.7.9 × 10⁷ =
  13. 13.What is the value of 2⁻⁶ (as a fraction)? =
  14. 14.Write 3.2 × 10⁻¹ as a decimal. =
  15. 15.What is the value of 2² × 2⁻²? =
  16. 16.Write 560 in standard form as 5.6 × 10ⁿ. What is n?
  17. 17.Write (7⁶)⁴ as a single power 7ⁿ. What is n?
  18. 18.What is the value of 9⁴? =
  19. 19.What is the value of 4⁵? =
  20. 20.What is the value of 2¹¹? =
  21. 21.Write 6,40,00,000 in standard form as 6.4 × 10ⁿ. What is n?
  22. 22.What is the value of (2/7)⁻²? =
  23. 23.What is the value of 2⁵ × 2⁻³? =
  24. 24.6.9 × 10⁵ =
  25. 25.Write 3⁷ ÷ 3³ as a single power 3ⁿ. What is n?
  26. 26.Write 8.7 × 10⁻⁴ as a decimal. =
  27. 27.Write 7¹¹ ÷ 7⁶ as a single power 7ⁿ. What is n?
  28. 28.Write 3.4 × 10⁻⁴ as a decimal. =
  29. 29.1.1 × 10⁵ =
  30. 30.Write 8¹⁷ ÷ 8⁹ as a single power 8ⁿ. What is n?
  31. 31.Write 6,60,00,000 in standard form as 6.6 × 10ⁿ. What is n?
  32. 32.What is the value of 3⁸? =
  33. 33.What is the value of 2⁻⁹ (as a fraction)? =
  34. 34.Write 9.7 × 10⁻¹ as a decimal. =
  35. 35.Write 3 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 5⁻⁴ (as a fraction)? =
  37. 37.What is the value of 2²? =
  38. 38.Write 3² × 3⁴ as a single power 3ⁿ. What is n?
  39. 39.What is the value of 2⁻⁷ (as a fraction)? =
  40. 40.Write 6.8 × 10⁻² as a decimal. =

Answer key

  1. 15625
  2. 1
  3. 0.0002
  4. 540
  5. 3000000
  6. 10
  7. 5
  8. 180
  9. 0.00057
  10. 1
  11. 7
  12. 79000000
  13. 1/64
  14. 0.32
  15. 1
  16. 2
  17. 24
  18. 6561
  19. 1024
  20. 2048
  21. 7
  22. 49/4
  23. 4
  24. 690000
  25. 4
  26. 0.00087
  27. 5
  28. 0.00034
  29. 110000
  30. 8
  31. 7
  32. 6561
  33. 1/512
  34. 0.97
  35. 0.3
  36. 1/625
  37. 4
  38. 6
  39. 1/128
  40. 0.068

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