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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 320 · 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 4,60,000 in standard form as 4.6 × 10ⁿ. What is n?
  2. 2.What is the value of 2¹⁶? =
  3. 3.What is the value of 2⁷? =
  4. 4.What is the value of 7⁵? =
  5. 5.What is the value of 5⁶ × 5⁻²? =
  6. 6.Write (4⁴)³ as a single power 4ⁿ. What is n?
  7. 7.What is the value of 2⁴? =
  8. 8.What is the value of 5⁴ × 5⁻¹? =
  9. 9.What is the value of 4⁸? =
  10. 10.5.7 × 10³ =
  11. 11.Write 2.7 × 10⁻³ as a decimal. =
  12. 12.Write 7.4 × 10⁻² as a decimal. =
  13. 13.Write 2.7 × 10⁻⁴ as a decimal. =
  14. 14.4.7 × 10⁶ =
  15. 15.What is the value of 6⁻¹ (as a fraction)? =
  16. 16.What is the value of 3⁷? =
  17. 17.Write 6,40,00,000 in standard form as 6.4 × 10ⁿ. What is n?
  18. 18.3.5 × 10⁷ =
  19. 19.Write 68,000 in standard form as 6.8 × 10ⁿ. What is n?
  20. 20.What is the value of 3¹ × 3⁻¹? =
  21. 21.What is the value of (1/2)⁻¹? =
  22. 22.Write 3,400 in standard form as 3.4 × 10ⁿ. What is n?
  23. 23.Write 2³ × 2² as a single power 2ⁿ. What is n?
  24. 24.Write 5.9 × 10⁻⁴ as a decimal. =
  25. 25.Write 7,500 in standard form as 7.5 × 10ⁿ. What is n?
  26. 26.What is the value of (1/9)⁻²? =
  27. 27.What is the value of 10²? =
  28. 28.Write 2.5 × 10⁻⁴ as a decimal. =
  29. 29.Write 7.5 × 10⁻⁴ as a decimal. =
  30. 30.Write 8 × 10⁻⁴ as a decimal. =
  31. 31.Write 6⁷ ÷ 6² as a single power 6ⁿ. What is n?
  32. 32.Write 3³ × 3⁹ as a single power 3ⁿ. What is n?
  33. 33.Write 6⁸ × 6⁴ as a single power 6ⁿ. What is n?
  34. 34.Write (9⁴)³ as a single power 9ⁿ. What is n?
  35. 35.What is the value of 5⁻² (as a fraction)? =
  36. 36.Write 5 × 10⁻⁴ as a decimal. =
  37. 37.9.9 × 10⁴ =
  38. 38.What is the value of 8²? =
  39. 39.Write 5.2 × 10⁻¹ as a decimal. =
  40. 40.Write 1.9 × 10⁻² as a decimal. =

Answer key

  1. 5
  2. 65536
  3. 128
  4. 16807
  5. 625
  6. 12
  7. 16
  8. 125
  9. 65536
  10. 5700
  11. 0.0027
  12. 0.074
  13. 0.00027
  14. 4700000
  15. 1/6
  16. 2187
  17. 7
  18. 35000000
  19. 4
  20. 1
  21. 2
  22. 3
  23. 5
  24. 0.00059
  25. 3
  26. 81
  27. 100
  28. 0.00025
  29. 0.00075
  30. 0.0008
  31. 5
  32. 12
  33. 12
  34. 12
  35. 1/25
  36. 0.0005
  37. 99000
  38. 64
  39. 0.52
  40. 0.019

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