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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 32 · 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 (5/7)⁻¹? =
  2. 2.Write 3¹² ÷ 3⁹ as a single power 3ⁿ. What is n?
  3. 3.Write 1.5 × 10⁻⁴ as a decimal. =
  4. 4.Write 6,50,00,000 in standard form as 6.5 × 10ⁿ. What is n?
  5. 5.What is the value of (3/8)⁻²? =
  6. 6.What is the value of 4⁶? =
  7. 7.What is the value of (5/6)⁻²? =
  8. 8.Write (4⁴)³ as a single power 4ⁿ. What is n?
  9. 9.Write 8.5 × 10⁻² as a decimal. =
  10. 10.What is the value of 5⁻³ (as a fraction)? =
  11. 11.What is the value of 8²? =
  12. 12.What is the value of 10³ × 10⁻²? =
  13. 13.Write 2² × 2⁹ as a single power 2ⁿ. What is n?
  14. 14.What is the value of 6⁴? =
  15. 15.What is the value of 2⁶? =
  16. 16.1.4 × 10⁷ =
  17. 17.Write 6.9 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 2¹¹? =
  19. 19.What is the value of 9²? =
  20. 20.Write 5¹² ÷ 5³ as a single power 5ⁿ. What is n?
  21. 21.Write 35,000 in standard form as 3.5 × 10ⁿ. What is n?
  22. 22.Write 6.8 × 10⁻³ as a decimal. =
  23. 23.Write 8.6 × 10⁻² as a decimal. =
  24. 24.Write 65,00,000 in standard form as 6.5 × 10ⁿ. What is n?
  25. 25.Write 5.7 × 10⁻¹ as a decimal. =
  26. 26.Write 2.2 × 10⁻¹ as a decimal. =
  27. 27.What is the value of 5³ × 5⁻⁴? =
  28. 28.Write 6 × 10⁻¹ as a decimal. =
  29. 29.What is the value of 10⁻² (as a fraction)? =
  30. 30.What is the value of 3⁵? =
  31. 31.What is the value of (1/9)⁻²? =
  32. 32.Write 6.2 × 10⁻³ as a decimal. =
  33. 33.What is the value of 4²? =
  34. 34.What is the value of 7²? =
  35. 35.What is the value of 2¹ × 2⁻⁵? =
  36. 36.What is the value of 2⁶ × 2⁻⁶? =
  37. 37.Write (5³)⁴ as a single power 5ⁿ. What is n?
  38. 38.What is the value of 3⁻² (as a fraction)? =
  39. 39.What is the value of (5/9)⁻¹? =
  40. 40.Write 9 × 10⁻⁴ as a decimal. =

Answer key

  1. 7/5
  2. 3
  3. 0.00015
  4. 7
  5. 64/9
  6. 4096
  7. 36/25
  8. 12
  9. 0.085
  10. 1/125
  11. 64
  12. 10
  13. 11
  14. 1296
  15. 64
  16. 14000000
  17. 0.69
  18. 2048
  19. 81
  20. 9
  21. 4
  22. 0.0068
  23. 0.086
  24. 6
  25. 0.57
  26. 0.22
  27. 1/5
  28. 0.6
  29. 1/100
  30. 243
  31. 81
  32. 0.0062
  33. 16
  34. 49
  35. 1/16
  36. 1
  37. 12
  38. 1/9
  39. 9/5
  40. 0.0009

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