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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 988 · 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. 1.4.4 × 10⁵ =
  2. 2.What is the value of 3⁸? =
  3. 3.What is the value of 3⁻³ (as a fraction)? =
  4. 4.3.2 × 10³ =
  5. 5.What is the value of 3⁵ × 3⁻²? =
  6. 6.What is the value of 2¹¹? =
  7. 7.What is the value of 4⁴? =
  8. 8.Write 3,40,000 in standard form as 3.4 × 10ⁿ. What is n?
  9. 9.What is the value of 2¹⁰? =
  10. 10.What is the value of 10³ × 10⁻⁶? =
  11. 11.What is the value of 10¹ × 10⁻⁶? =
  12. 12.9.8 × 10⁷ =
  13. 13.2.8 × 10⁷ =
  14. 14.What is the value of 4²? =
  15. 15.Write 9.6 × 10⁻¹ as a decimal. =
  16. 16.Write 5 × 10⁻¹ as a decimal. =
  17. 17.Write 8,10,000 in standard form as 8.1 × 10ⁿ. What is n?
  18. 18.4.7 × 10⁴ =
  19. 19.What is the value of (4/9)⁻²? =
  20. 20.Write 7.4 × 10⁻¹ as a decimal. =
  21. 21.Write 2³ × 2⁷ as a single power 2ⁿ. What is n?
  22. 22.What is the value of 4⁻³ (as a fraction)? =
  23. 23.What is the value of (1/4)⁻¹? =
  24. 24.Write 98,00,000 in standard form as 9.8 × 10ⁿ. What is n?
  25. 25.What is the value of 2⁶ × 2⁻³? =
  26. 26.What is the value of (2/5)⁻¹? =
  27. 27.Write 8² × 8⁴ as a single power 8ⁿ. What is n?
  28. 28.Write 370 in standard form as 3.7 × 10ⁿ. What is n?
  29. 29.Write 5⁶ × 5⁴ as a single power 5ⁿ. What is n?
  30. 30.Write 8¹¹ ÷ 8⁷ as a single power 8ⁿ. What is n?
  31. 31.Write 82,00,000 in standard form as 8.2 × 10ⁿ. What is n?
  32. 32.3.4 × 10⁴ =
  33. 33.Write 9,200 in standard form as 9.2 × 10ⁿ. What is n?
  34. 34.What is the value of (7/9)⁻²? =
  35. 35.What is the value of 10²? =
  36. 36.What is the value of 3² × 3⁻³? =
  37. 37.What is the value of 5⁻¹ (as a fraction)? =
  38. 38.Write 13,00,000 in standard form as 1.3 × 10ⁿ. What is n?
  39. 39.Write 2 × 10⁻³ as a decimal. =
  40. 40.6.9 × 10⁷ =

Answer key

  1. 440000
  2. 6561
  3. 1/27
  4. 3200
  5. 27
  6. 2048
  7. 256
  8. 5
  9. 1024
  10. 1/1000
  11. 1/100000
  12. 98000000
  13. 28000000
  14. 16
  15. 0.96
  16. 0.5
  17. 5
  18. 47000
  19. 81/16
  20. 0.74
  21. 10
  22. 1/64
  23. 4
  24. 6
  25. 8
  26. 5/2
  27. 6
  28. 2
  29. 10
  30. 4
  31. 6
  32. 34000
  33. 3
  34. 81/49
  35. 100
  36. 1/3
  37. 1/5
  38. 6
  39. 0.002
  40. 69000000

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