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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 614 · 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 2²? =
  2. 2.4.3 × 10² =
  3. 3.Write 210 in standard form as 2.1 × 10ⁿ. What is n?
  4. 4.Write 4.8 × 10⁻² as a decimal. =
  5. 5.Write 9.6 × 10⁻² as a decimal. =
  6. 6.2 × 10⁴ =
  7. 7.Write (4⁸)⁸ as a single power 4ⁿ. What is n?
  8. 8.What is the value of 7⁻³ (as a fraction)? =
  9. 9.What is the value of 10⁴? =
  10. 10.What is the value of 6⁻¹ (as a fraction)? =
  11. 11.What is the value of 5⁴? =
  12. 12.What is the value of 5⁻¹ (as a fraction)? =
  13. 13.Write 2⁵ ÷ 2² as a single power 2ⁿ. What is n?
  14. 14.What is the value of 2² × 2⁻⁵? =
  15. 15.Write 7.2 × 10⁻¹ as a decimal. =
  16. 16.What is the value of 2⁴? =
  17. 17.What is the value of (2/3)⁻¹? =
  18. 18.5.5 × 10⁶ =
  19. 19.Write (3⁶)⁶ as a single power 3ⁿ. What is n?
  20. 20.Write 4⁹ × 4⁸ as a single power 4ⁿ. What is n?
  21. 21.Write 3¹⁴ ÷ 3⁶ as a single power 3ⁿ. What is n?
  22. 22.What is the value of 4⁴? =
  23. 23.Write 8,80,000 in standard form as 8.8 × 10ⁿ. What is n?
  24. 24.Write 4⁸ × 4² as a single power 4ⁿ. What is n?
  25. 25.What is the value of 2⁶ × 2⁻²? =
  26. 26.What is the value of 2¹²? =
  27. 27.Write 4⁵ ÷ 4² as a single power 4ⁿ. What is n?
  28. 28.Write 8,800 in standard form as 8.8 × 10ⁿ. What is n?
  29. 29.Write 5⁵ × 5⁸ as a single power 5ⁿ. What is n?
  30. 30.What is the value of (1/5)⁻²? =
  31. 31.What is the value of (8/9)⁻¹? =
  32. 32.Write 6.1 × 10⁻³ as a decimal. =
  33. 33.What is the value of 9⁵? =
  34. 34.3 × 10³ =
  35. 35.Write 5.4 × 10⁻³ as a decimal. =
  36. 36.What is the value of (4/5)⁻²? =
  37. 37.What is the value of 6⁻³ (as a fraction)? =
  38. 38.What is the value of 10⁻³ (as a fraction)? =
  39. 39.Write 2⁸ × 2⁶ as a single power 2ⁿ. What is n?
  40. 40.What is the value of 2² × 2⁻²? =

Answer key

  1. 4
  2. 430
  3. 2
  4. 0.048
  5. 0.096
  6. 20000
  7. 64
  8. 1/343
  9. 10000
  10. 1/6
  11. 625
  12. 1/5
  13. 3
  14. 1/8
  15. 0.72
  16. 16
  17. 3/2
  18. 5500000
  19. 36
  20. 17
  21. 8
  22. 256
  23. 5
  24. 10
  25. 16
  26. 4096
  27. 3
  28. 3
  29. 13
  30. 25
  31. 9/8
  32. 0.0061
  33. 59049
  34. 3000
  35. 0.0054
  36. 25/16
  37. 1/216
  38. 1/1000
  39. 14
  40. 1

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