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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 987 · 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. 1.7 × 10³ =
  2. 2.Write 3² × 3³ as a single power 3ⁿ. What is n?
  3. 3.Write 3⁷ ÷ 3⁵ as a single power 3ⁿ. What is n?
  4. 4.What is the value of 2² × 2⁻⁵? =
  5. 5.Write 3,30,00,000 in standard form as 3.3 × 10ⁿ. What is n?
  6. 6.Write 3⁵ × 3⁵ as a single power 3ⁿ. What is n?
  7. 7.What is the value of 5⁶? =
  8. 8.Write 3 × 10⁻³ as a decimal. =
  9. 9.8 × 10² =
  10. 10.Write 2⁹ ÷ 2⁴ as a single power 2ⁿ. What is n?
  11. 11.What is the value of 2⁵ × 2⁻¹? =
  12. 12.What is the value of 10³ × 10⁻⁶? =
  13. 13.Write 3² × 3⁴ as a single power 3ⁿ. What is n?
  14. 14.Write 7⁹ ÷ 7⁶ as a single power 7ⁿ. What is n?
  15. 15.What is the value of 4³? =
  16. 16.Write 9.8 × 10⁻³ as a decimal. =
  17. 17.Write 8.9 × 10⁻² as a decimal. =
  18. 18.What is the value of (1/9)⁻²? =
  19. 19.Write 6,50,000 in standard form as 6.5 × 10ⁿ. What is n?
  20. 20.Write 4,100 in standard form as 4.1 × 10ⁿ. What is n?
  21. 21.What is the value of 10⁴ × 10⁻²? =
  22. 22.What is the value of 4⁴? =
  23. 23.Write 4,60,000 in standard form as 4.6 × 10ⁿ. What is n?
  24. 24.Write 2⁶ × 2⁶ as a single power 2ⁿ. What is n?
  25. 25.Write 7,80,00,000 in standard form as 7.8 × 10ⁿ. What is n?
  26. 26.What is the value of 3³ × 3⁻⁴? =
  27. 27.What is the value of 3⁴ × 3⁻⁵? =
  28. 28.What is the value of 4⁵? =
  29. 29.What is the value of (5/6)⁻²? =
  30. 30.What is the value of 2⁵ × 2⁻⁴? =
  31. 31.9.9 × 10⁶ =
  32. 32.Write 19,00,000 in standard form as 1.9 × 10ⁿ. What is n?
  33. 33.What is the value of 10² × 10⁻⁵? =
  34. 34.What is the value of 5³ × 5⁻¹? =
  35. 35.Write 8.7 × 10⁻² as a decimal. =
  36. 36.9.1 × 10³ =
  37. 37.Write 420 in standard form as 4.2 × 10ⁿ. What is n?
  38. 38.What is the value of 3³ × 3⁻²? =
  39. 39.Write 6⁹ ÷ 6⁴ as a single power 6ⁿ. What is n?
  40. 40.What is the value of (5/9)⁻¹? =

Answer key

  1. 7000
  2. 5
  3. 2
  4. 1/8
  5. 7
  6. 10
  7. 15625
  8. 0.003
  9. 800
  10. 5
  11. 16
  12. 1/1000
  13. 6
  14. 3
  15. 64
  16. 0.0098
  17. 0.089
  18. 81
  19. 5
  20. 3
  21. 100
  22. 256
  23. 5
  24. 12
  25. 7
  26. 1/3
  27. 1/3
  28. 1024
  29. 36/25
  30. 2
  31. 9900000
  32. 6
  33. 1/1000
  34. 25
  35. 0.087
  36. 9100
  37. 2
  38. 3
  39. 5
  40. 9/5

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