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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 541 · 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 7⁵ × 7⁵ as a single power 7ⁿ. What is n?
  2. 2.Write 4,90,000 in standard form as 4.9 × 10ⁿ. What is n?
  3. 3.Write (4⁵)⁶ as a single power 4ⁿ. What is n?
  4. 4.What is the value of (6/7)⁻²? =
  5. 5.What is the value of 3⁴ × 3⁻⁴? =
  6. 6.Write 3.4 × 10⁻⁴ as a decimal. =
  7. 7.Write 290 in standard form as 2.9 × 10ⁿ. What is n?
  8. 8.Write 2.5 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 3⁹? =
  10. 10.4.5 × 10³ =
  11. 11.What is the value of (2/9)⁻¹? =
  12. 12.What is the value of 3⁻⁵ (as a fraction)? =
  13. 13.What is the value of 4⁻¹ (as a fraction)? =
  14. 14.What is the value of (2/7)⁻¹? =
  15. 15.Write (6³)⁹ as a single power 6ⁿ. What is n?
  16. 16.What is the value of 5⁵ × 5⁻²? =
  17. 17.3 × 10³ =
  18. 18.Write 5.4 × 10⁻¹ as a decimal. =
  19. 19.What is the value of 2⁵? =
  20. 20.What is the value of (4/7)⁻²? =
  21. 21.What is the value of 10¹ × 10⁻³? =
  22. 22.What is the value of 8⁴? =
  23. 23.What is the value of 7³? =
  24. 24.What is the value of 2¹²? =
  25. 25.Write 6.8 × 10⁻² as a decimal. =
  26. 26.What is the value of 6⁶? =
  27. 27.Write 6,70,00,000 in standard form as 6.7 × 10ⁿ. What is n?
  28. 28.3.9 × 10⁴ =
  29. 29.What is the value of 2⁶ × 2⁻¹? =
  30. 30.What is the value of 2³ × 2⁻²? =
  31. 31.Write 3² × 3³ as a single power 3ⁿ. What is n?
  32. 32.Write 940 in standard form as 9.4 × 10ⁿ. What is n?
  33. 33.What is the value of (5/7)⁻¹? =
  34. 34.What is the value of 3⁻⁴ (as a fraction)? =
  35. 35.What is the value of 10⁴? =
  36. 36.Write 9⁹ × 9⁷ as a single power 9ⁿ. What is n?
  37. 37.Write 4¹¹ ÷ 4³ as a single power 4ⁿ. What is n?
  38. 38.Write 7.9 × 10⁻³ as a decimal. =
  39. 39.Write 1.8 × 10⁻¹ as a decimal. =
  40. 40.What is the value of 3⁴? =

Answer key

  1. 10
  2. 5
  3. 30
  4. 49/36
  5. 1
  6. 0.00034
  7. 2
  8. 0.25
  9. 19683
  10. 4500
  11. 9/2
  12. 1/243
  13. 1/4
  14. 7/2
  15. 27
  16. 125
  17. 3000
  18. 0.54
  19. 32
  20. 49/16
  21. 1/100
  22. 4096
  23. 343
  24. 4096
  25. 0.068
  26. 46656
  27. 7
  28. 39000
  29. 32
  30. 2
  31. 5
  32. 2
  33. 7/5
  34. 1/81
  35. 10000
  36. 16
  37. 8
  38. 0.0079
  39. 0.18
  40. 81

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