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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 479 · 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 5⁴ × 5⁻⁶? =
  2. 2.Write (8⁴)⁴ as a single power 8ⁿ. What is n?
  3. 3.Write 3,80,00,000 in standard form as 3.8 × 10ⁿ. What is n?
  4. 4.Write (4⁶)⁴ as a single power 4ⁿ. What is n?
  5. 5.Write 7⁶ × 7⁵ as a single power 7ⁿ. What is n?
  6. 6.What is the value of 6⁴? =
  7. 7.Write 2¹⁴ ÷ 2⁹ as a single power 2ⁿ. What is n?
  8. 8.What is the value of 10⁴ × 10⁻⁶? =
  9. 9.Write 9.9 × 10⁻³ as a decimal. =
  10. 10.Write 8 × 10⁻³ as a decimal. =
  11. 11.Write 5.2 × 10⁻³ as a decimal. =
  12. 12.What is the value of 4³? =
  13. 13.Write 7,80,000 in standard form as 7.8 × 10ⁿ. What is n?
  14. 14.What is the value of (5/6)⁻¹? =
  15. 15.What is the value of 3⁻¹ (as a fraction)? =
  16. 16.4.5 × 10⁵ =
  17. 17.Write 9.3 × 10⁻¹ as a decimal. =
  18. 18.Write (6⁵)⁷ as a single power 6ⁿ. What is n?
  19. 19.Write (8⁷)³ as a single power 8ⁿ. What is n?
  20. 20.What is the value of 8²? =
  21. 21.What is the value of (5/7)⁻²? =
  22. 22.What is the value of (4/5)⁻²? =
  23. 23.Write 6.1 × 10⁻¹ as a decimal. =
  24. 24.What is the value of 4⁶? =
  25. 25.Write (6⁷)⁷ as a single power 6ⁿ. What is n?
  26. 26.Write 4.4 × 10⁻⁴ as a decimal. =
  27. 27.Write 5.9 × 10⁻¹ as a decimal. =
  28. 28.Write 5.2 × 10⁻² as a decimal. =
  29. 29.Write 5.8 × 10⁻³ as a decimal. =
  30. 30.Write 3,70,000 in standard form as 3.7 × 10ⁿ. What is n?
  31. 31.Write 3.5 × 10⁻¹ as a decimal. =
  32. 32.Write 2⁴ × 2⁴ as a single power 2ⁿ. What is n?
  33. 33.Write 3 × 10⁻³ as a decimal. =
  34. 34.Write 7.5 × 10⁻³ as a decimal. =
  35. 35.Write 4.1 × 10⁻³ as a decimal. =
  36. 36.What is the value of (7/8)⁻¹? =
  37. 37.Write 7.3 × 10⁻² as a decimal. =
  38. 38.What is the value of 5¹ × 5⁻³? =
  39. 39.What is the value of 10²? =
  40. 40.Write 3⁹ ÷ 3⁶ as a single power 3ⁿ. What is n?

Answer key

  1. 1/25
  2. 16
  3. 7
  4. 24
  5. 11
  6. 1296
  7. 5
  8. 1/100
  9. 0.0099
  10. 0.008
  11. 0.0052
  12. 64
  13. 5
  14. 6/5
  15. 1/3
  16. 450000
  17. 0.93
  18. 35
  19. 21
  20. 64
  21. 49/25
  22. 25/16
  23. 0.61
  24. 4096
  25. 49
  26. 0.00044
  27. 0.59
  28. 0.052
  29. 0.0058
  30. 5
  31. 0.35
  32. 8
  33. 0.003
  34. 0.0075
  35. 0.0041
  36. 8/7
  37. 0.073
  38. 1/25
  39. 100
  40. 3

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