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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 202 · 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 4.4 × 10⁻³ as a decimal. =
  2. 2.Write 5⁴ × 5⁴ as a single power 5ⁿ. What is n?
  3. 3.Write 7.1 × 10⁻¹ as a decimal. =
  4. 4.Write (5⁷)⁵ as a single power 5ⁿ. What is n?
  5. 5.What is the value of (5/8)⁻²? =
  6. 6.Write 7.7 × 10⁻¹ as a decimal. =
  7. 7.6.9 × 10⁴ =
  8. 8.What is the value of (3/7)⁻²? =
  9. 9.Write (5⁴)² as a single power 5ⁿ. What is n?
  10. 10.What is the value of (2/7)⁻¹? =
  11. 11.What is the value of 3⁻⁶ (as a fraction)? =
  12. 12.What is the value of 10² × 10⁻⁶? =
  13. 13.Write 290 in standard form as 2.9 × 10ⁿ. What is n?
  14. 14.What is the value of (1/4)⁻²? =
  15. 15.Write 3.8 × 10⁻⁴ as a decimal. =
  16. 16.Write 3.1 × 10⁻¹ as a decimal. =
  17. 17.Write 2.5 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 6⁴? =
  19. 19.What is the value of 4⁸? =
  20. 20.What is the value of 3³ × 3⁻⁵? =
  21. 21.Write 9.6 × 10⁻⁴ as a decimal. =
  22. 22.9.6 × 10⁵ =
  23. 23.What is the value of 2⁶ × 2⁻³? =
  24. 24.Write (6²)³ as a single power 6ⁿ. What is n?
  25. 25.What is the value of 2¹⁶? =
  26. 26.What is the value of 10³? =
  27. 27.What is the value of 2²? =
  28. 28.9.2 × 10² =
  29. 29.Write 1.3 × 10⁻¹ as a decimal. =
  30. 30.1.9 × 10³ =
  31. 31.Write 3⁶ ÷ 3² as a single power 3ⁿ. What is n?
  32. 32.What is the value of 5³ × 5⁻³? =
  33. 33.Write 600 in standard form as 6 × 10ⁿ. What is n?
  34. 34.Write 4³ × 4⁶ as a single power 4ⁿ. What is n?
  35. 35.Write (3⁵)⁴ as a single power 3ⁿ. What is n?
  36. 36.1.7 × 10⁷ =
  37. 37.What is the value of 2⁸? =
  38. 38.Write 8.1 × 10⁻² as a decimal. =
  39. 39.What is the value of 3⁸? =
  40. 40.What is the value of 5² × 5⁻¹? =

Answer key

  1. 0.0044
  2. 8
  3. 0.71
  4. 35
  5. 64/25
  6. 0.77
  7. 69000
  8. 49/9
  9. 8
  10. 7/2
  11. 1/729
  12. 1/10000
  13. 2
  14. 16
  15. 0.00038
  16. 0.31
  17. 0.25
  18. 1296
  19. 65536
  20. 1/9
  21. 0.00096
  22. 960000
  23. 8
  24. 6
  25. 65536
  26. 1000
  27. 4
  28. 920
  29. 0.13
  30. 1900
  31. 4
  32. 1
  33. 2
  34. 9
  35. 20
  36. 17000000
  37. 256
  38. 0.081
  39. 6561
  40. 5

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