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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 795 · 40 sums
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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 7⁴ × 7⁵ as a single power 7ⁿ. What is n?
  2. 2.Write 3,60,000 in standard form as 3.6 × 10ⁿ. What is n?
  3. 3.What is the value of 10³ × 10⁻²? =
  4. 4.Write 5,600 in standard form as 5.6 × 10ⁿ. What is n?
  5. 5.What is the value of 2⁵ × 2⁻⁴? =
  6. 6.What is the value of 2⁴ × 2⁻³? =
  7. 7.What is the value of 2¹⁰? =
  8. 8.What is the value of 4⁶? =
  9. 9.Write 7 × 10⁻² as a decimal. =
  10. 10.Write 1.1 × 10⁻¹ as a decimal. =
  11. 11.What is the value of 2⁷? =
  12. 12.What is the value of 2⁻⁸ (as a fraction)? =
  13. 13.Write 3² × 3⁶ as a single power 3ⁿ. What is n?
  14. 14.What is the value of 4²? =
  15. 15.Write 6.9 × 10⁻³ as a decimal. =
  16. 16.What is the value of 6²? =
  17. 17.What is the value of 2¹ × 2⁻¹? =
  18. 18.What is the value of 10¹ × 10⁻³? =
  19. 19.7.7 × 10⁷ =
  20. 20.Write 7.1 × 10⁻² as a decimal. =
  21. 21.Write 3.1 × 10⁻³ as a decimal. =
  22. 22.What is the value of 2¹⁴? =
  23. 23.What is the value of 3⁴ × 3⁻⁵? =
  24. 24.Write (8⁸)² as a single power 8ⁿ. What is n?
  25. 25.What is the value of 3²? =
  26. 26.Write 3.5 × 10⁻³ as a decimal. =
  27. 27.Write 6¹³ ÷ 6⁴ as a single power 6ⁿ. What is n?
  28. 28.Write 5,20,00,000 in standard form as 5.2 × 10ⁿ. What is n?
  29. 29.Write 5¹¹ ÷ 5⁸ as a single power 5ⁿ. What is n?
  30. 30.What is the value of 9⁻² (as a fraction)? =
  31. 31.What is the value of 3³ × 3⁻⁴? =
  32. 32.Write (8⁵)⁹ as a single power 8ⁿ. What is n?
  33. 33.What is the value of (1/7)⁻²? =
  34. 34.What is the value of 2⁴ × 2⁻⁴? =
  35. 35.Write 430 in standard form as 4.3 × 10ⁿ. What is n?
  36. 36.What is the value of 2¹⁵? =
  37. 37.What is the value of 10¹ × 10⁻¹? =
  38. 38.Write 9,90,00,000 in standard form as 9.9 × 10ⁿ. What is n?
  39. 39.Write 9.9 × 10⁻¹ as a decimal. =
  40. 40.Write 8.6 × 10⁻¹ as a decimal. =

Answer key

  1. 9
  2. 5
  3. 10
  4. 3
  5. 2
  6. 2
  7. 1024
  8. 4096
  9. 0.07
  10. 0.11
  11. 128
  12. 1/256
  13. 8
  14. 16
  15. 0.0069
  16. 36
  17. 1
  18. 1/100
  19. 77000000
  20. 0.071
  21. 0.0031
  22. 16384
  23. 1/3
  24. 16
  25. 9
  26. 0.0035
  27. 9
  28. 7
  29. 3
  30. 1/81
  31. 1/3
  32. 45
  33. 49
  34. 1
  35. 2
  36. 32768
  37. 1
  38. 7
  39. 0.99
  40. 0.86

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