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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 237 · 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 7⁶ × 7⁴ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 5³ × 5⁻²? =
  4. 4.3.3 × 10⁵ =
  5. 5.5.3 × 10⁶ =
  6. 6.What is the value of 3⁻³ (as a fraction)? =
  7. 7.Write 1.3 × 10⁻³ as a decimal. =
  8. 8.What is the value of 4⁴? =
  9. 9.What is the value of 3³ × 3⁻⁶? =
  10. 10.What is the value of 5⁵ × 5⁻²? =
  11. 11.What is the value of 2⁻⁸ (as a fraction)? =
  12. 12.What is the value of 3¹ × 3⁻¹? =
  13. 13.What is the value of 2⁴? =
  14. 14.5 × 10⁷ =
  15. 15.Write 9.5 × 10⁻³ as a decimal. =
  16. 16.Write 7.8 × 10⁻⁴ as a decimal. =
  17. 17.Write 2.3 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 10²? =
  19. 19.9.6 × 10⁷ =
  20. 20.Write 2³ × 2³ as a single power 2ⁿ. What is n?
  21. 21.Write (4⁹)⁴ as a single power 4ⁿ. What is n?
  22. 22.7.2 × 10⁷ =
  23. 23.Write 9⁹ ÷ 9⁷ as a single power 9ⁿ. What is n?
  24. 24.Write 7⁹ × 7⁸ as a single power 7ⁿ. What is n?
  25. 25.What is the value of (1/4)⁻²? =
  26. 26.Write 7.2 × 10⁻⁴ as a decimal. =
  27. 27.Write 9.4 × 10⁻¹ as a decimal. =
  28. 28.Write (2⁵)⁴ as a single power 2ⁿ. What is n?
  29. 29.Write (7³)³ as a single power 7ⁿ. What is n?
  30. 30.What is the value of 2² × 2⁻⁵? =
  31. 31.What is the value of 5³? =
  32. 32.What is the value of (2/9)⁻¹? =
  33. 33.Write 8¹⁵ ÷ 8⁷ as a single power 8ⁿ. What is n?
  34. 34.What is the value of (1/7)⁻²? =
  35. 35.What is the value of 2⁵ × 2⁻²? =
  36. 36.What is the value of 2¹⁰? =
  37. 37.Write 8.5 × 10⁻¹ as a decimal. =
  38. 38.Write 8² × 8⁸ as a single power 8ⁿ. What is n?
  39. 39.Write 5⁶ × 5² as a single power 5ⁿ. What is n?
  40. 40.What is the value of 2¹⁴? =

Answer key

  1. 4096
  2. 10
  3. 5
  4. 330000
  5. 5300000
  6. 1/27
  7. 0.0013
  8. 256
  9. 1/27
  10. 125
  11. 1/256
  12. 1
  13. 16
  14. 50000000
  15. 0.0095
  16. 0.00078
  17. 0.23
  18. 100
  19. 96000000
  20. 6
  21. 36
  22. 72000000
  23. 2
  24. 17
  25. 16
  26. 0.00072
  27. 0.94
  28. 20
  29. 9
  30. 1/8
  31. 125
  32. 9/2
  33. 8
  34. 49
  35. 8
  36. 1024
  37. 0.85
  38. 10
  39. 8
  40. 16384

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