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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 384 · 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 4⁴? =
  2. 2.Write 3¹¹ ÷ 3⁵ as a single power 3ⁿ. What is n?
  3. 3.What is the value of 2⁻³ (as a fraction)? =
  4. 4.What is the value of 10² × 10⁻⁶? =
  5. 5.Write 1.4 × 10⁻¹ as a decimal. =
  6. 6.Write 7,20,000 in standard form as 7.2 × 10ⁿ. What is n?
  7. 7.Write 4⁹ ÷ 4⁵ as a single power 4ⁿ. What is n?
  8. 8.Write 5,40,000 in standard form as 5.4 × 10ⁿ. What is n?
  9. 9.4.4 × 10⁴ =
  10. 10.Write 3⁷ × 3⁶ as a single power 3ⁿ. What is n?
  11. 11.What is the value of (1/5)⁻¹? =
  12. 12.What is the value of 3¹ × 3⁻¹? =
  13. 13.What is the value of 3⁻³ (as a fraction)? =
  14. 14.What is the value of 8⁵? =
  15. 15.Write (5³)⁶ as a single power 5ⁿ. What is n?
  16. 16.Write 6.6 × 10⁻¹ as a decimal. =
  17. 17.Write 8.8 × 10⁻² as a decimal. =
  18. 18.4.5 × 10³ =
  19. 19.Write 6.7 × 10⁻³ as a decimal. =
  20. 20.Write 2¹³ ÷ 2⁷ as a single power 2ⁿ. What is n?
  21. 21.Write 32,00,000 in standard form as 3.2 × 10ⁿ. What is n?
  22. 22.What is the value of 2³? =
  23. 23.What is the value of 2⁻⁵ (as a fraction)? =
  24. 24.What is the value of (8/9)⁻¹? =
  25. 25.Write 8¹² ÷ 8⁷ as a single power 8ⁿ. What is n?
  26. 26.What is the value of 3⁴ × 3⁻³? =
  27. 27.5.5 × 10² =
  28. 28.What is the value of 2⁴? =
  29. 29.Write 6⁸ × 6⁹ as a single power 6ⁿ. What is n?
  30. 30.Write 3.1 × 10⁻³ as a decimal. =
  31. 31.What is the value of 8⁻¹ (as a fraction)? =
  32. 32.What is the value of 10³ × 10⁻¹? =
  33. 33.6.5 × 10⁷ =
  34. 34.What is the value of (4/5)⁻¹? =
  35. 35.8.9 × 10² =
  36. 36.9.8 × 10⁵ =
  37. 37.Write (6⁵)⁵ as a single power 6ⁿ. What is n?
  38. 38.Write 2.9 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 7⁴? =
  40. 40.4.7 × 10⁵ =

Answer key

  1. 256
  2. 6
  3. 1/8
  4. 1/10000
  5. 0.14
  6. 5
  7. 4
  8. 5
  9. 44000
  10. 13
  11. 5
  12. 1
  13. 1/27
  14. 32768
  15. 18
  16. 0.66
  17. 0.088
  18. 4500
  19. 0.0067
  20. 6
  21. 6
  22. 8
  23. 1/32
  24. 9/8
  25. 5
  26. 3
  27. 550
  28. 16
  29. 17
  30. 0.0031
  31. 1/8
  32. 100
  33. 65000000
  34. 5/4
  35. 890
  36. 980000
  37. 25
  38. 0.29
  39. 2401
  40. 470000

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