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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 768 · 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 5³ × 5⁻⁶? =
  2. 2.Write 1.2 × 10⁻² as a decimal. =
  3. 3.What is the value of 2⁶ × 2⁻⁴? =
  4. 4.What is the value of 2⁴? =
  5. 5.Write 230 in standard form as 2.3 × 10ⁿ. What is n?
  6. 6.What is the value of 10⁻² (as a fraction)? =
  7. 7.What is the value of 6⁻³ (as a fraction)? =
  8. 8.Write (8⁵)³ as a single power 8ⁿ. What is n?
  9. 9.Write 4.5 × 10⁻⁴ as a decimal. =
  10. 10.What is the value of 2⁷? =
  11. 11.What is the value of 3⁷? =
  12. 12.What is the value of 10² × 10⁻⁵? =
  13. 13.Write 3.7 × 10⁻² as a decimal. =
  14. 14.What is the value of 2⁶? =
  15. 15.What is the value of 3⁴ × 3⁻¹? =
  16. 16.What is the value of 2⁸? =
  17. 17.Write (2³)³ as a single power 2ⁿ. What is n?
  18. 18.Write 9.2 × 10⁻¹ as a decimal. =
  19. 19.Write 5,00,00,000 in standard form as 5 × 10ⁿ. What is n?
  20. 20.Write 3² × 3⁴ as a single power 3ⁿ. What is n?
  21. 21.Write 2.1 × 10⁻¹ as a decimal. =
  22. 22.Write 8.1 × 10⁻³ as a decimal. =
  23. 23.What is the value of 4⁴? =
  24. 24.Write 1.4 × 10⁻⁴ as a decimal. =
  25. 25.Write 5⁷ × 5⁶ as a single power 5ⁿ. What is n?
  26. 26.What is the value of 2⁶ × 2⁻⁶? =
  27. 27.Write 3,400 in standard form as 3.4 × 10ⁿ. What is n?
  28. 28.What is the value of 3³ × 3⁻²? =
  29. 29.Write 7.3 × 10⁻³ as a decimal. =
  30. 30.What is the value of 3⁶? =
  31. 31.What is the value of (3/7)⁻²? =
  32. 32.Write (7⁷)³ as a single power 7ⁿ. What is n?
  33. 33.Write 5,200 in standard form as 5.2 × 10ⁿ. What is n?
  34. 34.What is the value of 2⁹? =
  35. 35.What is the value of 7³? =
  36. 36.Write 52,00,000 in standard form as 5.2 × 10ⁿ. What is n?
  37. 37.What is the value of 3³ × 3⁻¹? =
  38. 38.9 × 10⁵ =
  39. 39.Write (4⁵)² as a single power 4ⁿ. What is n?
  40. 40.What is the value of 3¹⁰? =

Answer key

  1. 1/125
  2. 0.012
  3. 4
  4. 16
  5. 2
  6. 1/100
  7. 1/216
  8. 15
  9. 0.00045
  10. 128
  11. 2187
  12. 1/1000
  13. 0.037
  14. 64
  15. 27
  16. 256
  17. 9
  18. 0.92
  19. 7
  20. 6
  21. 0.21
  22. 0.0081
  23. 256
  24. 0.00014
  25. 13
  26. 1
  27. 3
  28. 3
  29. 0.0073
  30. 729
  31. 49/9
  32. 21
  33. 3
  34. 512
  35. 343
  36. 6
  37. 9
  38. 900000
  39. 10
  40. 59049

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