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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 192 · 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 5.5 × 10⁻³ as a decimal. =
  2. 2.5.2 × 10⁵ =
  3. 3.1.4 × 10⁴ =
  4. 4.Write 5⁶ ÷ 5³ as a single power 5ⁿ. What is n?
  5. 5.Write 8³ × 8² as a single power 8ⁿ. What is n?
  6. 6.What is the value of 7⁻¹ (as a fraction)? =
  7. 7.What is the value of 5⁶ × 5⁻⁵? =
  8. 8.Write 74,000 in standard form as 7.4 × 10ⁿ. What is n?
  9. 9.Write (4⁵)⁹ as a single power 4ⁿ. What is n?
  10. 10.Write 2⁸ × 2⁶ as a single power 2ⁿ. What is n?
  11. 11.What is the value of 3² × 3⁻¹? =
  12. 12.What is the value of 10⁵ × 10⁻³? =
  13. 13.Write 38,00,000 in standard form as 3.8 × 10ⁿ. What is n?
  14. 14.What is the value of 9⁻¹ (as a fraction)? =
  15. 15.Write 9⁷ × 9⁸ as a single power 9ⁿ. What is n?
  16. 16.1.5 × 10⁴ =
  17. 17.Write 6,90,000 in standard form as 6.9 × 10ⁿ. What is n?
  18. 18.What is the value of (1/3)⁻¹? =
  19. 19.Write (2³)⁶ as a single power 2ⁿ. What is n?
  20. 20.What is the value of 3¹⁰? =
  21. 21.Write 3,40,00,000 in standard form as 3.4 × 10ⁿ. What is n?
  22. 22.Write 6.5 × 10⁻² as a decimal. =
  23. 23.Write 3.6 × 10⁻¹ as a decimal. =
  24. 24.Write 5.8 × 10⁻⁴ as a decimal. =
  25. 25.Write 6.9 × 10⁻² as a decimal. =
  26. 26.Write (6⁶)⁷ as a single power 6ⁿ. What is n?
  27. 27.Write 6 × 10⁻⁴ as a decimal. =
  28. 28.Write 7.7 × 10⁻³ as a decimal. =
  29. 29.What is the value of (3/8)⁻²? =
  30. 30.What is the value of 3⁵ × 3⁻⁵? =
  31. 31.What is the value of 5³? =
  32. 32.What is the value of (2/3)⁻¹? =
  33. 33.What is the value of 2⁻⁵ (as a fraction)? =
  34. 34.What is the value of 2⁻⁷ (as a fraction)? =
  35. 35.What is the value of 2¹ × 2⁻¹? =
  36. 36.Write 8⁸ ÷ 8⁵ as a single power 8ⁿ. What is n?
  37. 37.What is the value of 2⁶? =
  38. 38.1.2 × 10⁷ =
  39. 39.What is the value of 4³? =
  40. 40.What is the value of 10⁴? =

Answer key

  1. 0.0055
  2. 520000
  3. 14000
  4. 3
  5. 5
  6. 1/7
  7. 5
  8. 4
  9. 45
  10. 14
  11. 3
  12. 100
  13. 6
  14. 1/9
  15. 15
  16. 15000
  17. 5
  18. 3
  19. 18
  20. 59049
  21. 7
  22. 0.065
  23. 0.36
  24. 0.00058
  25. 0.069
  26. 42
  27. 0.0006
  28. 0.0077
  29. 64/9
  30. 1
  31. 125
  32. 3/2
  33. 1/32
  34. 1/128
  35. 1
  36. 3
  37. 64
  38. 12000000
  39. 64
  40. 10000

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