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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 276 · 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 4⁻² (as a fraction)? =
  2. 2.Write 6,900 in standard form as 6.9 × 10ⁿ. What is n?
  3. 3.What is the value of 3⁹? =
  4. 4.What is the value of 2⁻⁵ (as a fraction)? =
  5. 5.Write 3.9 × 10⁻⁴ as a decimal. =
  6. 6.Write 34,00,000 in standard form as 3.4 × 10ⁿ. What is n?
  7. 7.What is the value of 7³? =
  8. 8.What is the value of (1/3)⁻¹? =
  9. 9.What is the value of 3⁶ × 3⁻¹? =
  10. 10.Write 3.9 × 10⁻² as a decimal. =
  11. 11.Write 1,800 in standard form as 1.8 × 10ⁿ. What is n?
  12. 12.What is the value of 10⁴ × 10⁻⁶? =
  13. 13.Write (6⁴)⁷ as a single power 6ⁿ. What is n?
  14. 14.What is the value of 3⁶ × 3⁻⁶? =
  15. 15.What is the value of 6³? =
  16. 16.What is the value of 5⁴ × 5⁻¹? =
  17. 17.1.1 × 10² =
  18. 18.Write 2,60,00,000 in standard form as 2.6 × 10ⁿ. What is n?
  19. 19.Write 3⁷ ÷ 3⁴ as a single power 3ⁿ. What is n?
  20. 20.What is the value of 5⁵ × 5⁻⁵? =
  21. 21.Write 260 in standard form as 2.6 × 10ⁿ. What is n?
  22. 22.Write 9³ × 9² as a single power 9ⁿ. What is n?
  23. 23.5.8 × 10⁴ =
  24. 24.Write 5¹¹ ÷ 5² as a single power 5ⁿ. What is n?
  25. 25.What is the value of 10⁵? =
  26. 26.What is the value of 3⁴ × 3⁻⁴? =
  27. 27.What is the value of 5⁶ × 5⁻⁶? =
  28. 28.Write 5¹¹ ÷ 5³ as a single power 5ⁿ. What is n?
  29. 29.What is the value of 5⁵? =
  30. 30.2.2 × 10⁵ =
  31. 31.Write 9³ × 9⁸ as a single power 9ⁿ. What is n?
  32. 32.5.4 × 10² =
  33. 33.What is the value of 10⁻² (as a fraction)? =
  34. 34.What is the value of 8⁵? =
  35. 35.Write 7.9 × 10⁻¹ as a decimal. =
  36. 36.Write 740 in standard form as 7.4 × 10ⁿ. What is n?
  37. 37.What is the value of (5/7)⁻¹? =
  38. 38.2.9 × 10² =
  39. 39.What is the value of 2⁴ × 2⁻⁴? =
  40. 40.What is the value of (1/8)⁻¹? =

Answer key

  1. 1/16
  2. 3
  3. 19683
  4. 1/32
  5. 0.00039
  6. 6
  7. 343
  8. 3
  9. 243
  10. 0.039
  11. 3
  12. 1/100
  13. 28
  14. 1
  15. 216
  16. 125
  17. 110
  18. 7
  19. 3
  20. 1
  21. 2
  22. 5
  23. 58000
  24. 9
  25. 100000
  26. 1
  27. 1
  28. 8
  29. 3125
  30. 220000
  31. 11
  32. 540
  33. 1/100
  34. 32768
  35. 0.79
  36. 2
  37. 7/5
  38. 290
  39. 1
  40. 8

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