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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 948 · 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 2.3 × 10⁻² as a decimal. =
  2. 2.Write (4⁶)⁹ as a single power 4ⁿ. What is n?
  3. 3.What is the value of (2/9)⁻¹? =
  4. 4.What is the value of 10⁻¹ (as a fraction)? =
  5. 5.What is the value of 10³? =
  6. 6.What is the value of 10³ × 10⁻²? =
  7. 7.What is the value of 10² × 10⁻⁵? =
  8. 8.What is the value of 5⁶ × 5⁻¹? =
  9. 9.What is the value of 2⁻⁴ (as a fraction)? =
  10. 10.What is the value of 2¹⁰? =
  11. 11.What is the value of (3/7)⁻²? =
  12. 12.What is the value of 9⁻² (as a fraction)? =
  13. 13.What is the value of 2⁴? =
  14. 14.Write 3,50,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  15. 15.Write 8.2 × 10⁻² as a decimal. =
  16. 16.What is the value of 8³? =
  17. 17.Write 3,30,000 in standard form as 3.3 × 10ⁿ. What is n?
  18. 18.What is the value of (3/4)⁻²? =
  19. 19.What is the value of (1/6)⁻¹? =
  20. 20.What is the value of 4⁴? =
  21. 21.Write 2⁵ × 2³ as a single power 2ⁿ. What is n?
  22. 22.Write 8¹⁶ ÷ 8⁹ as a single power 8ⁿ. What is n?
  23. 23.What is the value of 5³ × 5⁻³? =
  24. 24.Write (3³)⁷ as a single power 3ⁿ. What is n?
  25. 25.Write 7⁴ × 7⁴ as a single power 7ⁿ. What is n?
  26. 26.Write 1.2 × 10⁻³ as a decimal. =
  27. 27.Write 9,90,00,000 in standard form as 9.9 × 10ⁿ. What is n?
  28. 28.Write 9.9 × 10⁻⁴ as a decimal. =
  29. 29.What is the value of 10⁵? =
  30. 30.What is the value of 3¹ × 3⁻⁶? =
  31. 31.4.6 × 10⁷ =
  32. 32.What is the value of 2⁴ × 2⁻³? =
  33. 33.What is the value of 2⁶ × 2⁻⁶? =
  34. 34.What is the value of 2⁴ × 2⁻⁴? =
  35. 35.What is the value of 10⁻³ (as a fraction)? =
  36. 36.What is the value of 2²? =
  37. 37.What is the value of 10⁵ × 10⁻⁴? =
  38. 38.Write 2⁶ ÷ 2³ as a single power 2ⁿ. What is n?
  39. 39.What is the value of 2³ × 2⁻¹? =
  40. 40.What is the value of 6⁴? =

Answer key

  1. 0.023
  2. 54
  3. 9/2
  4. 1/10
  5. 1000
  6. 10
  7. 1/1000
  8. 3125
  9. 1/16
  10. 1024
  11. 49/9
  12. 1/81
  13. 16
  14. 7
  15. 0.082
  16. 512
  17. 5
  18. 16/9
  19. 6
  20. 256
  21. 8
  22. 7
  23. 1
  24. 21
  25. 8
  26. 0.0012
  27. 7
  28. 0.00099
  29. 100000
  30. 1/243
  31. 46000000
  32. 2
  33. 1
  34. 1
  35. 1/1000
  36. 4
  37. 10
  38. 3
  39. 4
  40. 1296

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