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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 216 · 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 1.8 × 10⁻¹ as a decimal. =
  2. 2.What is the value of 10⁵? =
  3. 3.Write 6.8 × 10⁻² as a decimal. =
  4. 4.What is the value of 10³ × 10⁻⁴? =
  5. 5.What is the value of 2⁵ × 2⁻⁶? =
  6. 6.What is the value of 3³ × 3⁻⁶? =
  7. 7.What is the value of 2³ × 2⁻⁴? =
  8. 8.What is the value of 5² × 5⁻²? =
  9. 9.Write 7⁹ × 7³ as a single power 7ⁿ. What is n?
  10. 10.What is the value of 2⁸? =
  11. 11.What is the value of 3⁶ × 3⁻²? =
  12. 12.Write 74,000 in standard form as 7.4 × 10ⁿ. What is n?
  13. 13.What is the value of 2¹ × 2⁻⁵? =
  14. 14.Write 72,00,000 in standard form as 7.2 × 10ⁿ. What is n?
  15. 15.Write 7¹³ ÷ 7⁶ as a single power 7ⁿ. What is n?
  16. 16.Write 5 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 2⁹? =
  18. 18.Write 200 in standard form as 2 × 10ⁿ. What is n?
  19. 19.Write 9⁵ × 9⁷ as a single power 9ⁿ. What is n?
  20. 20.4.9 × 10² =
  21. 21.What is the value of 2⁴ × 2⁻³? =
  22. 22.Write (8⁴)⁸ as a single power 8ⁿ. What is n?
  23. 23.Write 8⁴ × 8⁶ as a single power 8ⁿ. What is n?
  24. 24.What is the value of 5² × 5⁻¹? =
  25. 25.2.1 × 10⁷ =
  26. 26.Write 8.3 × 10⁻³ as a decimal. =
  27. 27.What is the value of 2³? =
  28. 28.What is the value of (3/7)⁻²? =
  29. 29.What is the value of 10¹ × 10⁻⁴? =
  30. 30.What is the value of 7⁴? =
  31. 31.Write 5⁸ × 5⁸ as a single power 5ⁿ. What is n?
  32. 32.What is the value of 8²? =
  33. 33.2.2 × 10⁶ =
  34. 34.What is the value of 3² × 3⁻⁴? =
  35. 35.What is the value of 3⁸? =
  36. 36.What is the value of 3² × 3⁻⁶? =
  37. 37.Write 9² × 9⁹ as a single power 9ⁿ. What is n?
  38. 38.What is the value of 2⁻¹ (as a fraction)? =
  39. 39.What is the value of (1/5)⁻¹? =
  40. 40.What is the value of 10⁴ × 10⁻⁵? =

Answer key

  1. 0.18
  2. 100000
  3. 0.068
  4. 1/10
  5. 1/2
  6. 1/27
  7. 1/2
  8. 1
  9. 12
  10. 256
  11. 81
  12. 4
  13. 1/16
  14. 6
  15. 7
  16. 0.5
  17. 512
  18. 2
  19. 12
  20. 490
  21. 2
  22. 32
  23. 10
  24. 5
  25. 21000000
  26. 0.0083
  27. 8
  28. 49/9
  29. 1/1000
  30. 2401
  31. 16
  32. 64
  33. 2200000
  34. 1/9
  35. 6561
  36. 1/81
  37. 11
  38. 1/2
  39. 5
  40. 1/10

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