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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 750 · 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 2¹²? =
  2. 2.Write 2 × 10⁻³ as a decimal. =
  3. 3.What is the value of 3³ × 3⁻⁴? =
  4. 4.What is the value of 2²? =
  5. 5.What is the value of 2¹ × 2⁻¹? =
  6. 6.What is the value of 2⁶? =
  7. 7.What is the value of 9⁴? =
  8. 8.What is the value of 8⁻² (as a fraction)? =
  9. 9.What is the value of 2¹ × 2⁻⁶? =
  10. 10.What is the value of 10³? =
  11. 11.Write 9.7 × 10⁻² as a decimal. =
  12. 12.4.9 × 10² =
  13. 13.5.5 × 10⁴ =
  14. 14.Write 9,30,000 in standard form as 9.3 × 10ⁿ. What is n?
  15. 15.What is the value of 10³ × 10⁻²? =
  16. 16.What is the value of 10² × 10⁻³? =
  17. 17.1.1 × 10⁴ =
  18. 18.What is the value of 2² × 2⁻⁶? =
  19. 19.What is the value of 4⁷? =
  20. 20.Write 4⁵ × 4³ as a single power 4ⁿ. What is n?
  21. 21.Write 1.8 × 10⁻² as a decimal. =
  22. 22.What is the value of 3⁵ × 3⁻¹? =
  23. 23.Write 2¹² ÷ 2⁶ as a single power 2ⁿ. What is n?
  24. 24.What is the value of 5⁻³ (as a fraction)? =
  25. 25.Write (3²)⁴ as a single power 3ⁿ. What is n?
  26. 26.What is the value of 2⁻⁶ (as a fraction)? =
  27. 27.What is the value of 7⁻³ (as a fraction)? =
  28. 28.Write 2,10,000 in standard form as 2.1 × 10ⁿ. What is n?
  29. 29.What is the value of 3⁵ × 3⁻⁴? =
  30. 30.8.9 × 10⁵ =
  31. 31.Write 2 × 10⁻⁴ as a decimal. =
  32. 32.What is the value of (3/7)⁻¹? =
  33. 33.Write 9.8 × 10⁻² as a decimal. =
  34. 34.What is the value of 5⁵? =
  35. 35.Write 3¹² ÷ 3⁴ as a single power 3ⁿ. What is n?
  36. 36.What is the value of 10⁻³ (as a fraction)? =
  37. 37.What is the value of 2⁵ × 2⁻¹? =
  38. 38.Write 8¹⁰ ÷ 8² as a single power 8ⁿ. What is n?
  39. 39.Write 7⁷ ÷ 7³ as a single power 7ⁿ. What is n?
  40. 40.6.2 × 10² =

Answer key

  1. 4096
  2. 0.002
  3. 1/3
  4. 4
  5. 1
  6. 64
  7. 6561
  8. 1/64
  9. 1/32
  10. 1000
  11. 0.097
  12. 490
  13. 55000
  14. 5
  15. 10
  16. 1/10
  17. 11000
  18. 1/16
  19. 16384
  20. 8
  21. 0.018
  22. 81
  23. 6
  24. 1/125
  25. 8
  26. 1/64
  27. 1/343
  28. 5
  29. 3
  30. 890000
  31. 0.0002
  32. 7/3
  33. 0.098
  34. 3125
  35. 8
  36. 1/1000
  37. 16
  38. 8
  39. 4
  40. 620

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