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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 55 · 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.Write (2³)⁵ as a single power 2ⁿ. What is n?
  2. 2.What is the value of 2¹ × 2⁻¹? =
  3. 3.Write 3.2 × 10⁻³ as a decimal. =
  4. 4.What is the value of 3⁶ × 3⁻⁵? =
  5. 5.What is the value of 5⁷? =
  6. 6.What is the value of 2⁵ × 2⁻³? =
  7. 7.Write 2.1 × 10⁻¹ as a decimal. =
  8. 8.What is the value of 5² × 5⁻¹? =
  9. 9.Write 480 in standard form as 4.8 × 10ⁿ. What is n?
  10. 10.What is the value of 10⁴ × 10⁻³? =
  11. 11.What is the value of 9⁻² (as a fraction)? =
  12. 12.Write 6.8 × 10⁻² as a decimal. =
  13. 13.What is the value of 2¹⁶? =
  14. 14.What is the value of (2/3)⁻²? =
  15. 15.Write 2.6 × 10⁻¹ as a decimal. =
  16. 16.Write (8⁷)² as a single power 8ⁿ. What is n?
  17. 17.What is the value of 2¹¹? =
  18. 18.What is the value of 5⁶? =
  19. 19.What is the value of 2¹ × 2⁻³? =
  20. 20.What is the value of 3² × 3⁻⁵? =
  21. 21.What is the value of 3⁶ × 3⁻²? =
  22. 22.What is the value of 3⁹? =
  23. 23.What is the value of 10³? =
  24. 24.What is the value of 4⁴? =
  25. 25.Write 9.4 × 10⁻³ as a decimal. =
  26. 26.Write 1.2 × 10⁻³ as a decimal. =
  27. 27.What is the value of 4³? =
  28. 28.What is the value of 2⁶ × 2⁻³? =
  29. 29.Write 1.7 × 10⁻³ as a decimal. =
  30. 30.What is the value of 5⁻² (as a fraction)? =
  31. 31.Write 6.7 × 10⁻⁴ as a decimal. =
  32. 32.What is the value of 6⁻³ (as a fraction)? =
  33. 33.What is the value of 10⁻³ (as a fraction)? =
  34. 34.7.2 × 10⁴ =
  35. 35.Write 8.4 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 3²? =
  37. 37.What is the value of 5⁵ × 5⁻²? =
  38. 38.Write 9⁵ × 9⁵ as a single power 9ⁿ. What is n?
  39. 39.Write 26,00,000 in standard form as 2.6 × 10ⁿ. What is n?
  40. 40.Write 2,10,00,000 in standard form as 2.1 × 10ⁿ. What is n?

Answer key

  1. 15
  2. 1
  3. 0.0032
  4. 3
  5. 78125
  6. 4
  7. 0.21
  8. 5
  9. 2
  10. 10
  11. 1/81
  12. 0.068
  13. 65536
  14. 9/4
  15. 0.26
  16. 14
  17. 2048
  18. 15625
  19. 1/4
  20. 1/27
  21. 81
  22. 19683
  23. 1000
  24. 256
  25. 0.0094
  26. 0.0012
  27. 64
  28. 8
  29. 0.0017
  30. 1/25
  31. 0.00067
  32. 1/216
  33. 1/1000
  34. 72000
  35. 0.84
  36. 9
  37. 125
  38. 10
  39. 6
  40. 7

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