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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 871 · 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 5.4 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of 9⁵? =
  3. 3.Write 2¹³ ÷ 2⁴ as a single power 2ⁿ. What is n?
  4. 4.What is the value of 2¹⁴? =
  5. 5.Write (7⁶)⁹ as a single power 7ⁿ. What is n?
  6. 6.What is the value of 2⁵ × 2⁻¹? =
  7. 7.What is the value of 8⁴? =
  8. 8.What is the value of (1/4)⁻¹? =
  9. 9.Write 4¹⁰ ÷ 4⁴ as a single power 4ⁿ. What is n?
  10. 10.Write 9.8 × 10⁻¹ as a decimal. =
  11. 11.What is the value of 6³? =
  12. 12.What is the value of 2⁻¹ (as a fraction)? =
  13. 13.What is the value of (3/8)⁻²? =
  14. 14.What is the value of 3⁵? =
  15. 15.What is the value of 5³ × 5⁻⁵? =
  16. 16.9.5 × 10⁶ =
  17. 17.What is the value of (4/5)⁻¹? =
  18. 18.Write 9.9 × 10⁻² as a decimal. =
  19. 19.Write 1.6 × 10⁻² as a decimal. =
  20. 20.What is the value of 3¹⁰? =
  21. 21.What is the value of 4⁶? =
  22. 22.What is the value of 7⁵? =
  23. 23.Write 2,30,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  24. 24.What is the value of 10¹ × 10⁻¹? =
  25. 25.What is the value of 2¹¹? =
  26. 26.What is the value of 6⁴? =
  27. 27.What is the value of 4²? =
  28. 28.What is the value of 3² × 3⁻⁶? =
  29. 29.What is the value of (7/9)⁻¹? =
  30. 30.Write 35,000 in standard form as 3.5 × 10ⁿ. What is n?
  31. 31.7.9 × 10⁷ =
  32. 32.What is the value of 3¹ × 3⁻⁴? =
  33. 33.What is the value of 4³? =
  34. 34.What is the value of 5⁻⁴ (as a fraction)? =
  35. 35.Write 4.5 × 10⁻⁴ as a decimal. =
  36. 36.Write (8³)² as a single power 8ⁿ. What is n?
  37. 37.Write 29,000 in standard form as 2.9 × 10ⁿ. What is n?
  38. 38.What is the value of 4⁸? =
  39. 39.What is the value of 5⁴ × 5⁻⁶? =
  40. 40.What is the value of (3/5)⁻²? =

Answer key

  1. 0.00054
  2. 59049
  3. 9
  4. 16384
  5. 54
  6. 16
  7. 4096
  8. 4
  9. 6
  10. 0.98
  11. 216
  12. 1/2
  13. 64/9
  14. 243
  15. 1/25
  16. 9500000
  17. 5/4
  18. 0.099
  19. 0.016
  20. 59049
  21. 4096
  22. 16807
  23. 7
  24. 1
  25. 2048
  26. 1296
  27. 16
  28. 1/81
  29. 9/7
  30. 4
  31. 79000000
  32. 1/27
  33. 64
  34. 1/625
  35. 0.00045
  36. 6
  37. 4
  38. 65536
  39. 1/25
  40. 25/9

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