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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 820 · 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 2⁴ × 2⁻⁵? =
  2. 2.What is the value of (1/2)⁻¹? =
  3. 3.Write 3¹⁰ ÷ 3³ as a single power 3ⁿ. What is n?
  4. 4.What is the value of 10¹ × 10⁻⁶? =
  5. 5.What is the value of 3¹ × 3⁻⁶? =
  6. 6.What is the value of 7³? =
  7. 7.1.4 × 10⁴ =
  8. 8.What is the value of 7²? =
  9. 9.What is the value of 4⁷? =
  10. 10.What is the value of 10⁴ × 10⁻³? =
  11. 11.Write 2.2 × 10⁻² as a decimal. =
  12. 12.What is the value of 2³? =
  13. 13.What is the value of 4⁴? =
  14. 14.What is the value of 10⁶ × 10⁻⁴? =
  15. 15.Write 2¹¹ ÷ 2⁹ as a single power 2ⁿ. What is n?
  16. 16.Write 9⁹ × 9⁷ as a single power 9ⁿ. What is n?
  17. 17.What is the value of 3⁻² (as a fraction)? =
  18. 18.7.8 × 10² =
  19. 19.What is the value of 2¹¹? =
  20. 20.What is the value of (1/4)⁻¹? =
  21. 21.What is the value of 3⁵ × 3⁻⁴? =
  22. 22.What is the value of 2¹⁶? =
  23. 23.What is the value of 5³ × 5⁻¹? =
  24. 24.What is the value of 2⁶ × 2⁻⁶? =
  25. 25.Write 1,60,000 in standard form as 1.6 × 10ⁿ. What is n?
  26. 26.Write 7.3 × 10⁻¹ as a decimal. =
  27. 27.What is the value of 6⁴? =
  28. 28.Write (5³)⁴ as a single power 5ⁿ. What is n?
  29. 29.What is the value of 2⁻⁸ (as a fraction)? =
  30. 30.What is the value of 2⁵? =
  31. 31.What is the value of (8/9)⁻¹? =
  32. 32.Write 5⁹ ÷ 5⁵ as a single power 5ⁿ. What is n?
  33. 33.Write 4,20,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  34. 34.Write 11,00,000 in standard form as 1.1 × 10ⁿ. What is n?
  35. 35.What is the value of 5⁷? =
  36. 36.Write 8⁸ × 8³ as a single power 8ⁿ. What is n?
  37. 37.What is the value of 3⁻¹ (as a fraction)? =
  38. 38.What is the value of 2³ × 2⁻¹? =
  39. 39.Write 7.3 × 10⁻³ as a decimal. =
  40. 40.What is the value of 3⁵? =

Answer key

  1. 1/2
  2. 2
  3. 7
  4. 1/100000
  5. 1/243
  6. 343
  7. 14000
  8. 49
  9. 16384
  10. 10
  11. 0.022
  12. 8
  13. 256
  14. 100
  15. 2
  16. 16
  17. 1/9
  18. 780
  19. 2048
  20. 4
  21. 3
  22. 65536
  23. 25
  24. 1
  25. 5
  26. 0.73
  27. 1296
  28. 12
  29. 1/256
  30. 32
  31. 9/8
  32. 4
  33. 7
  34. 6
  35. 78125
  36. 11
  37. 1/3
  38. 4
  39. 0.0073
  40. 243

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