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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 510 · 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 2³ × 2⁻⁵? =
  2. 2.What is the value of 10³? =
  3. 3.What is the value of 3¹ × 3⁻¹? =
  4. 4.Write 9.5 × 10⁻³ as a decimal. =
  5. 5.What is the value of 8⁵? =
  6. 6.Write (5²)⁴ as a single power 5ⁿ. What is n?
  7. 7.Write 4⁵ × 4⁷ as a single power 4ⁿ. What is n?
  8. 8.Write (5⁴)³ as a single power 5ⁿ. What is n?
  9. 9.What is the value of 10⁴ × 10⁻²? =
  10. 10.Write 1,10,000 in standard form as 1.1 × 10ⁿ. What is n?
  11. 11.Write 3⁵ × 3⁴ as a single power 3ⁿ. What is n?
  12. 12.What is the value of 3⁸? =
  13. 13.Write 7.7 × 10⁻³ as a decimal. =
  14. 14.What is the value of 2⁻⁹ (as a fraction)? =
  15. 15.Write 3,90,00,000 in standard form as 3.9 × 10ⁿ. What is n?
  16. 16.Write 3¹⁴ ÷ 3⁶ as a single power 3ⁿ. What is n?
  17. 17.6.3 × 10⁷ =
  18. 18.Write 2.3 × 10⁻⁴ as a decimal. =
  19. 19.Write 7⁹ × 7⁵ as a single power 7ⁿ. What is n?
  20. 20.Write 2⁸ ÷ 2⁶ as a single power 2ⁿ. What is n?
  21. 21.What is the value of 2¹¹? =
  22. 22.Write 1.6 × 10⁻¹ as a decimal. =
  23. 23.Write (9⁵)⁷ as a single power 9ⁿ. What is n?
  24. 24.Write 8.9 × 10⁻¹ as a decimal. =
  25. 25.Write 19,000 in standard form as 1.9 × 10ⁿ. What is n?
  26. 26.Write 6¹⁰ ÷ 6⁶ as a single power 6ⁿ. What is n?
  27. 27.What is the value of 2⁻³ (as a fraction)? =
  28. 28.Write 8.6 × 10⁻² as a decimal. =
  29. 29.Write 8.8 × 10⁻³ as a decimal. =
  30. 30.2.5 × 10⁶ =
  31. 31.What is the value of 2³ × 2⁻⁴? =
  32. 32.What is the value of 9⁴? =
  33. 33.Write 6.8 × 10⁻³ as a decimal. =
  34. 34.Write 3.3 × 10⁻³ as a decimal. =
  35. 35.Write 2.3 × 10⁻³ as a decimal. =
  36. 36.What is the value of 2² × 2⁻³? =
  37. 37.Write 6.5 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of (1/3)⁻¹? =
  39. 39.What is the value of 7⁴? =
  40. 40.7.4 × 10⁷ =

Answer key

  1. 1/4
  2. 1000
  3. 1
  4. 0.0095
  5. 32768
  6. 8
  7. 12
  8. 12
  9. 100
  10. 5
  11. 9
  12. 6561
  13. 0.0077
  14. 1/512
  15. 7
  16. 8
  17. 63000000
  18. 0.00023
  19. 14
  20. 2
  21. 2048
  22. 0.16
  23. 35
  24. 0.89
  25. 4
  26. 4
  27. 1/8
  28. 0.086
  29. 0.0088
  30. 2500000
  31. 1/2
  32. 6561
  33. 0.0068
  34. 0.0033
  35. 0.0023
  36. 1/2
  37. 0.00065
  38. 3
  39. 2401
  40. 74000000

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