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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 626 · 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. 1.5.6 × 10⁴ =
  2. 2.What is the value of 2¹⁵? =
  3. 3.What is the value of 5⁷? =
  4. 4.What is the value of 3³? =
  5. 5.Write 2¹³ ÷ 2⁵ as a single power 2ⁿ. What is n?
  6. 6.Write 2,80,000 in standard form as 2.8 × 10ⁿ. What is n?
  7. 7.Write 3.6 × 10⁻² as a decimal. =
  8. 8.What is the value of 2² × 2⁻²? =
  9. 9.Write 1.8 × 10⁻⁴ as a decimal. =
  10. 10.Write (5³)³ as a single power 5ⁿ. What is n?
  11. 11.What is the value of (2/9)⁻²? =
  12. 12.What is the value of 10⁻¹ (as a fraction)? =
  13. 13.What is the value of 2⁻² (as a fraction)? =
  14. 14.What is the value of 3⁻⁵ (as a fraction)? =
  15. 15.Write 4.1 × 10⁻⁴ as a decimal. =
  16. 16.Write 80,000 in standard form as 8 × 10ⁿ. What is n?
  17. 17.1.4 × 10⁶ =
  18. 18.What is the value of 10⁴ × 10⁻¹? =
  19. 19.2 × 10⁷ =
  20. 20.What is the value of 8⁴? =
  21. 21.Write 9.4 × 10⁻¹ as a decimal. =
  22. 22.What is the value of 2² × 2⁻⁵? =
  23. 23.What is the value of (8/9)⁻²? =
  24. 24.Write 9.3 × 10⁻⁴ as a decimal. =
  25. 25.What is the value of 5⁻¹ (as a fraction)? =
  26. 26.What is the value of 3⁻¹ (as a fraction)? =
  27. 27.What is the value of 6⁵? =
  28. 28.What is the value of 4⁻⁴ (as a fraction)? =
  29. 29.Write 1,40,00,000 in standard form as 1.4 × 10ⁿ. What is n?
  30. 30.What is the value of (8/9)⁻¹? =
  31. 31.What is the value of 5²? =
  32. 32.What is the value of 2⁵ × 2⁻¹? =
  33. 33.Write 6 × 10⁻² as a decimal. =
  34. 34.Write 7,300 in standard form as 7.3 × 10ⁿ. What is n?
  35. 35.What is the value of 10⁵ × 10⁻⁴? =
  36. 36.What is the value of 5³ × 5⁻¹? =
  37. 37.Write 1,10,00,000 in standard form as 1.1 × 10ⁿ. What is n?
  38. 38.Write (9⁶)⁷ as a single power 9ⁿ. What is n?
  39. 39.Write 22,000 in standard form as 2.2 × 10ⁿ. What is n?
  40. 40.What is the value of 4⁷? =

Answer key

  1. 56000
  2. 32768
  3. 78125
  4. 27
  5. 8
  6. 5
  7. 0.036
  8. 1
  9. 0.00018
  10. 9
  11. 81/4
  12. 1/10
  13. 1/4
  14. 1/243
  15. 0.00041
  16. 4
  17. 1400000
  18. 1000
  19. 20000000
  20. 4096
  21. 0.94
  22. 1/8
  23. 81/64
  24. 0.00093
  25. 1/5
  26. 1/3
  27. 7776
  28. 1/256
  29. 7
  30. 9/8
  31. 25
  32. 16
  33. 0.06
  34. 3
  35. 10
  36. 25
  37. 7
  38. 42
  39. 4
  40. 16384

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