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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 119 · 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.Write 4² × 4⁵ as a single power 4ⁿ. What is n?
  2. 2.Write 7,90,00,000 in standard form as 7.9 × 10ⁿ. What is n?
  3. 3.What is the value of 3³ × 3⁻⁶? =
  4. 4.Write 6⁵ × 6³ as a single power 6ⁿ. What is n?
  5. 5.Write 4⁵ × 4⁵ as a single power 4ⁿ. What is n?
  6. 6.Write 6.8 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 3⁶ × 3⁻⁵? =
  8. 8.What is the value of 4³? =
  9. 9.What is the value of (1/7)⁻¹? =
  10. 10.What is the value of 5¹ × 5⁻³? =
  11. 11.What is the value of 6²? =
  12. 12.Write 37,000 in standard form as 3.7 × 10ⁿ. What is n?
  13. 13.1.6 × 10² =
  14. 14.What is the value of 4⁴? =
  15. 15.What is the value of 2⁵ × 2⁻⁶? =
  16. 16.What is the value of 2⁵ × 2⁻⁵? =
  17. 17.Write 7.7 × 10⁻³ as a decimal. =
  18. 18.What is the value of 5²? =
  19. 19.5.9 × 10⁵ =
  20. 20.What is the value of (1/2)⁻¹? =
  21. 21.Write 8 × 10⁻¹ as a decimal. =
  22. 22.Write 2⁶ × 2⁵ as a single power 2ⁿ. What is n?
  23. 23.What is the value of 2⁻⁴ (as a fraction)? =
  24. 24.9.9 × 10⁴ =
  25. 25.What is the value of (5/9)⁻¹? =
  26. 26.Write 6¹¹ ÷ 6⁴ as a single power 6ⁿ. What is n?
  27. 27.Write 3,200 in standard form as 3.2 × 10ⁿ. What is n?
  28. 28.9.3 × 10² =
  29. 29.What is the value of (5/6)⁻¹? =
  30. 30.What is the value of 8⁴? =
  31. 31.What is the value of 4⁷? =
  32. 32.What is the value of 5⁻¹ (as a fraction)? =
  33. 33.Write (5⁶)⁵ as a single power 5ⁿ. What is n?
  34. 34.Write 2,90,00,000 in standard form as 2.9 × 10ⁿ. What is n?
  35. 35.Write 4.4 × 10⁻² as a decimal. =
  36. 36.What is the value of 2⁻¹ (as a fraction)? =
  37. 37.What is the value of 2³ × 2⁻²? =
  38. 38.Write 8.6 × 10⁻⁴ as a decimal. =
  39. 39.5.8 × 10⁶ =
  40. 40.What is the value of 3⁻⁵ (as a fraction)? =

Answer key

  1. 7
  2. 7
  3. 1/27
  4. 8
  5. 10
  6. 0.68
  7. 3
  8. 64
  9. 7
  10. 1/25
  11. 36
  12. 4
  13. 160
  14. 256
  15. 1/2
  16. 1
  17. 0.0077
  18. 25
  19. 590000
  20. 2
  21. 0.8
  22. 11
  23. 1/16
  24. 99000
  25. 9/5
  26. 7
  27. 3
  28. 930
  29. 6/5
  30. 4096
  31. 16384
  32. 1/5
  33. 30
  34. 7
  35. 0.044
  36. 1/2
  37. 2
  38. 0.00086
  39. 5800000
  40. 1/243

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