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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 672 · 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 10⁵ × 10⁻¹? =
  2. 2.Write 2.2 × 10⁻¹ as a decimal. =
  3. 3.Write (3⁶)⁹ as a single power 3ⁿ. What is n?
  4. 4.Write 5.5 × 10⁻¹ as a decimal. =
  5. 5.Write 8⁴ ÷ 8² as a single power 8ⁿ. What is n?
  6. 6.Write 4¹³ ÷ 4⁶ as a single power 4ⁿ. What is n?
  7. 7.What is the value of 4⁵? =
  8. 8.What is the value of 3⁴? =
  9. 9.What is the value of 10⁵? =
  10. 10.What is the value of 5⁴ × 5⁻⁶? =
  11. 11.What is the value of 6⁵? =
  12. 12.Write 3¹² ÷ 3⁹ as a single power 3ⁿ. What is n?
  13. 13.What is the value of 3⁷? =
  14. 14.Write 26,000 in standard form as 2.6 × 10ⁿ. What is n?
  15. 15.Write (9²)⁸ as a single power 9ⁿ. What is n?
  16. 16.What is the value of 9³? =
  17. 17.What is the value of 2⁴ × 2⁻⁴? =
  18. 18.What is the value of 3⁶ × 3⁻⁶? =
  19. 19.What is the value of 2³ × 2⁻³? =
  20. 20.Write 24,000 in standard form as 2.4 × 10ⁿ. What is n?
  21. 21.Write 4.2 × 10⁻² as a decimal. =
  22. 22.What is the value of 2¹⁰? =
  23. 23.What is the value of (3/8)⁻¹? =
  24. 24.Write 4,800 in standard form as 4.8 × 10ⁿ. What is n?
  25. 25.What is the value of 2¹⁵? =
  26. 26.Write 81,000 in standard form as 8.1 × 10ⁿ. What is n?
  27. 27.What is the value of 8²? =
  28. 28.8.2 × 10⁵ =
  29. 29.What is the value of 5⁶? =
  30. 30.What is the value of (1/3)⁻¹? =
  31. 31.What is the value of 2¹⁶? =
  32. 32.What is the value of 10²? =
  33. 33.What is the value of 2⁸? =
  34. 34.5.6 × 10⁵ =
  35. 35.What is the value of 2² × 2⁻⁵? =
  36. 36.What is the value of 3⁸? =
  37. 37.What is the value of (6/7)⁻²? =
  38. 38.Write 3² × 3⁹ as a single power 3ⁿ. What is n?
  39. 39.What is the value of 9⁻³ (as a fraction)? =
  40. 40.What is the value of 10⁴ × 10⁻²? =

Answer key

  1. 10000
  2. 0.22
  3. 54
  4. 0.55
  5. 2
  6. 7
  7. 1024
  8. 81
  9. 100000
  10. 1/25
  11. 7776
  12. 3
  13. 2187
  14. 4
  15. 16
  16. 729
  17. 1
  18. 1
  19. 1
  20. 4
  21. 0.042
  22. 1024
  23. 8/3
  24. 3
  25. 32768
  26. 4
  27. 64
  28. 820000
  29. 15625
  30. 3
  31. 65536
  32. 100
  33. 256
  34. 560000
  35. 1/8
  36. 6561
  37. 49/36
  38. 11
  39. 1/729
  40. 100

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