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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 627 · 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 (2²)⁵ as a single power 2ⁿ. What is n?
  2. 2.4.2 × 10³ =
  3. 3.What is the value of 5² × 5⁻³? =
  4. 4.What is the value of 2¹ × 2⁻⁶? =
  5. 5.9.9 × 10³ =
  6. 6.What is the value of 5⁶ × 5⁻²? =
  7. 7.Write (4⁷)⁵ as a single power 4ⁿ. What is n?
  8. 8.What is the value of 9⁻² (as a fraction)? =
  9. 9.What is the value of 5⁵ × 5⁻⁴? =
  10. 10.Write 3⁹ × 3⁶ as a single power 3ⁿ. What is n?
  11. 11.Write 7.5 × 10⁻⁴ as a decimal. =
  12. 12.Write 8.5 × 10⁻¹ as a decimal. =
  13. 13.What is the value of 7⁻³ (as a fraction)? =
  14. 14.Write (5⁷)⁴ as a single power 5ⁿ. What is n?
  15. 15.What is the value of (5/6)⁻²? =
  16. 16.Write 2.6 × 10⁻³ as a decimal. =
  17. 17.8.5 × 10⁴ =
  18. 18.Write 7,50,000 in standard form as 7.5 × 10ⁿ. What is n?
  19. 19.Write 3,500 in standard form as 3.5 × 10ⁿ. What is n?
  20. 20.What is the value of (5/8)⁻¹? =
  21. 21.What is the value of 3⁻⁵ (as a fraction)? =
  22. 22.What is the value of 9⁴? =
  23. 23.What is the value of 2⁶? =
  24. 24.Write 5² × 5³ as a single power 5ⁿ. What is n?
  25. 25.What is the value of 10¹ × 10⁻⁶? =
  26. 26.What is the value of 10³ × 10⁻³? =
  27. 27.What is the value of 2¹ × 2⁻⁵? =
  28. 28.Write 2,20,00,000 in standard form as 2.2 × 10ⁿ. What is n?
  29. 29.8.4 × 10⁶ =
  30. 30.Write 7⁸ × 7⁵ as a single power 7ⁿ. What is n?
  31. 31.What is the value of 10² × 10⁻³? =
  32. 32.What is the value of 10⁻² (as a fraction)? =
  33. 33.What is the value of 4⁶? =
  34. 34.What is the value of 5³ × 5⁻⁴? =
  35. 35.Write 6⁹ × 6³ as a single power 6ⁿ. What is n?
  36. 36.Write 2.9 × 10⁻² as a decimal. =
  37. 37.Write 5.9 × 10⁻² as a decimal. =
  38. 38.8.4 × 10⁷ =
  39. 39.What is the value of 2⁴ × 2⁻¹? =
  40. 40.What is the value of 6²? =

Answer key

  1. 10
  2. 4200
  3. 1/5
  4. 1/32
  5. 9900
  6. 625
  7. 35
  8. 1/81
  9. 5
  10. 15
  11. 0.00075
  12. 0.85
  13. 1/343
  14. 28
  15. 36/25
  16. 0.0026
  17. 85000
  18. 5
  19. 3
  20. 8/5
  21. 1/243
  22. 6561
  23. 64
  24. 5
  25. 1/100000
  26. 1
  27. 1/16
  28. 7
  29. 8400000
  30. 13
  31. 1/10
  32. 1/100
  33. 4096
  34. 1/5
  35. 12
  36. 0.029
  37. 0.059
  38. 84000000
  39. 8
  40. 36

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