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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 26 · 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 9⁻³ (as a fraction)? =
  2. 2.Write 4.2 × 10⁻³ as a decimal. =
  3. 3.6.1 × 10⁴ =
  4. 4.What is the value of 2³? =
  5. 5.Write 1.4 × 10⁻¹ as a decimal. =
  6. 6.6.2 × 10⁶ =
  7. 7.Write (8³)⁷ as a single power 8ⁿ. What is n?
  8. 8.Write 35,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  9. 9.What is the value of 2¹²? =
  10. 10.Write 1.4 × 10⁻² as a decimal. =
  11. 11.Write 3,10,000 in standard form as 3.1 × 10ⁿ. What is n?
  12. 12.8.8 × 10³ =
  13. 13.1.5 × 10³ =
  14. 14.What is the value of 5³ × 5⁻¹? =
  15. 15.5.9 × 10² =
  16. 16.What is the value of 4⁷? =
  17. 17.What is the value of (1/6)⁻²? =
  18. 18.What is the value of 3² × 3⁻¹? =
  19. 19.Write 5¹⁴ ÷ 5⁶ as a single power 5ⁿ. What is n?
  20. 20.Write (6⁶)⁹ as a single power 6ⁿ. What is n?
  21. 21.What is the value of 2⁶ × 2⁻³? =
  22. 22.Write 2.4 × 10⁻² as a decimal. =
  23. 23.What is the value of 3⁶ × 3⁻¹? =
  24. 24.Write (2⁶)³ as a single power 2ⁿ. What is n?
  25. 25.What is the value of 5³? =
  26. 26.What is the value of (2/7)⁻²? =
  27. 27.What is the value of 3³? =
  28. 28.What is the value of (1/8)⁻¹? =
  29. 29.Write 2,600 in standard form as 2.6 × 10ⁿ. What is n?
  30. 30.What is the value of 2² × 2⁻⁵? =
  31. 31.What is the value of (1/5)⁻²? =
  32. 32.What is the value of 8²? =
  33. 33.What is the value of 10⁴? =
  34. 34.5.7 × 10³ =
  35. 35.Write 2.2 × 10⁻¹ as a decimal. =
  36. 36.Write 64,00,000 in standard form as 6.4 × 10ⁿ. What is n?
  37. 37.Write 7.2 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 2²? =
  39. 39.Write 2³ × 2⁶ as a single power 2ⁿ. What is n?
  40. 40.Write 2.8 × 10⁻² as a decimal. =

Answer key

  1. 1/729
  2. 0.0042
  3. 61000
  4. 8
  5. 0.14
  6. 6200000
  7. 21
  8. 6
  9. 4096
  10. 0.014
  11. 5
  12. 8800
  13. 1500
  14. 25
  15. 590
  16. 16384
  17. 36
  18. 3
  19. 8
  20. 54
  21. 8
  22. 0.024
  23. 243
  24. 18
  25. 125
  26. 49/4
  27. 27
  28. 8
  29. 3
  30. 1/8
  31. 25
  32. 64
  33. 10000
  34. 5700
  35. 0.22
  36. 6
  37. 0.72
  38. 4
  39. 9
  40. 0.028

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