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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 61 · 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. 1.1.2 × 10⁵ =
  2. 2.Write (2⁸)⁴ as a single power 2ⁿ. What is n?
  3. 3.What is the value of 10³? =
  4. 4.1.3 × 10⁶ =
  5. 5.What is the value of 7⁻² (as a fraction)? =
  6. 6.What is the value of 2⁶? =
  7. 7.Write 3.2 × 10⁻⁴ as a decimal. =
  8. 8.What is the value of 5¹ × 5⁻⁴? =
  9. 9.6.6 × 10⁶ =
  10. 10.What is the value of (3/4)⁻¹? =
  11. 11.What is the value of (4/7)⁻¹? =
  12. 12.9.3 × 10⁷ =
  13. 13.What is the value of 5² × 5⁻³? =
  14. 14.What is the value of 2²? =
  15. 15.Write 4³ × 4⁴ as a single power 4ⁿ. What is n?
  16. 16.What is the value of 10⁶ × 10⁻³? =
  17. 17.What is the value of 3⁵ × 3⁻⁵? =
  18. 18.Write 3⁸ ÷ 3⁴ as a single power 3ⁿ. What is n?
  19. 19.Write (3⁸)⁶ as a single power 3ⁿ. What is n?
  20. 20.What is the value of 2⁷? =
  21. 21.What is the value of (8/9)⁻¹? =
  22. 22.What is the value of 6⁴? =
  23. 23.Write 130 in standard form as 1.3 × 10ⁿ. What is n?
  24. 24.What is the value of 3⁸? =
  25. 25.What is the value of 2⁻² (as a fraction)? =
  26. 26.What is the value of 4⁷? =
  27. 27.What is the value of 2⁸? =
  28. 28.Write 4.8 × 10⁻⁴ as a decimal. =
  29. 29.6.1 × 10⁷ =
  30. 30.Write 2.9 × 10⁻² as a decimal. =
  31. 31.What is the value of 5⁴? =
  32. 32.What is the value of 3²? =
  33. 33.What is the value of 7⁴? =
  34. 34.What is the value of 9⁴? =
  35. 35.What is the value of 5⁶ × 5⁻³? =
  36. 36.What is the value of 2¹¹? =
  37. 37.Write 6¹³ ÷ 6⁶ as a single power 6ⁿ. What is n?
  38. 38.What is the value of 3⁵? =
  39. 39.What is the value of 5⁵ × 5⁻³? =
  40. 40.2.5 × 10⁴ =

Answer key

  1. 120000
  2. 32
  3. 1000
  4. 1300000
  5. 1/49
  6. 64
  7. 0.00032
  8. 1/125
  9. 6600000
  10. 4/3
  11. 7/4
  12. 93000000
  13. 1/5
  14. 4
  15. 7
  16. 1000
  17. 1
  18. 4
  19. 48
  20. 128
  21. 9/8
  22. 1296
  23. 2
  24. 6561
  25. 1/4
  26. 16384
  27. 256
  28. 0.00048
  29. 61000000
  30. 0.029
  31. 625
  32. 9
  33. 2401
  34. 6561
  35. 125
  36. 2048
  37. 7
  38. 243
  39. 25
  40. 25000

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