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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 397 · 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 8²? =
  2. 2.What is the value of 10³ × 10⁻⁵? =
  3. 3.Write 2⁷ ÷ 2³ as a single power 2ⁿ. What is n?
  4. 4.What is the value of 10⁴ × 10⁻¹? =
  5. 5.What is the value of 2¹⁴? =
  6. 6.Write 39,000 in standard form as 3.9 × 10ⁿ. What is n?
  7. 7.What is the value of 7⁻¹ (as a fraction)? =
  8. 8.What is the value of 2⁴ × 2⁻²? =
  9. 9.Write 3.7 × 10⁻¹ as a decimal. =
  10. 10.9.7 × 10⁶ =
  11. 11.Write 5¹⁰ ÷ 5² as a single power 5ⁿ. What is n?
  12. 12.What is the value of 2⁶ × 2⁻⁴? =
  13. 13.What is the value of 2⁵? =
  14. 14.Write 1.8 × 10⁻² as a decimal. =
  15. 15.What is the value of 5⁶? =
  16. 16.Write 5.8 × 10⁻² as a decimal. =
  17. 17.Write (2⁸)⁵ as a single power 2ⁿ. What is n?
  18. 18.Write 700 in standard form as 7 × 10ⁿ. What is n?
  19. 19.What is the value of (1/4)⁻²? =
  20. 20.Write 1.5 × 10⁻³ as a decimal. =
  21. 21.What is the value of 3⁻³ (as a fraction)? =
  22. 22.What is the value of 3⁴ × 3⁻¹? =
  23. 23.Write 8¹² ÷ 8⁴ as a single power 8ⁿ. What is n?
  24. 24.Write 6,600 in standard form as 6.6 × 10ⁿ. What is n?
  25. 25.What is the value of 10² × 10⁻⁵? =
  26. 26.Write 4.1 × 10⁻³ as a decimal. =
  27. 27.What is the value of 6⁻³ (as a fraction)? =
  28. 28.4 × 10⁵ =
  29. 29.What is the value of 3⁵ × 3⁻³? =
  30. 30.Write 76,00,000 in standard form as 7.6 × 10ⁿ. What is n?
  31. 31.What is the value of 5⁻⁴ (as a fraction)? =
  32. 32.Write (6⁶)⁹ as a single power 6ⁿ. What is n?
  33. 33.Write 9.4 × 10⁻² as a decimal. =
  34. 34.What is the value of (1/8)⁻²? =
  35. 35.What is the value of 3² × 3⁻⁴? =
  36. 36.Write (6⁵)⁶ as a single power 6ⁿ. What is n?
  37. 37.Write 6⁸ × 6² as a single power 6ⁿ. What is n?
  38. 38.Write 5⁷ ÷ 5⁴ as a single power 5ⁿ. What is n?
  39. 39.What is the value of 9⁵? =
  40. 40.What is the value of 2³ × 2⁻²? =

Answer key

  1. 64
  2. 1/100
  3. 4
  4. 1000
  5. 16384
  6. 4
  7. 1/7
  8. 4
  9. 0.37
  10. 9700000
  11. 8
  12. 4
  13. 32
  14. 0.018
  15. 15625
  16. 0.058
  17. 40
  18. 2
  19. 16
  20. 0.0015
  21. 1/27
  22. 27
  23. 8
  24. 3
  25. 1/1000
  26. 0.0041
  27. 1/216
  28. 400000
  29. 9
  30. 6
  31. 1/625
  32. 54
  33. 0.094
  34. 64
  35. 1/9
  36. 30
  37. 10
  38. 3
  39. 59049
  40. 2

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