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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 337 · 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 (5/6)⁻²? =
  2. 2.What is the value of 10⁻¹ (as a fraction)? =
  3. 3.What is the value of 5²? =
  4. 4.What is the value of 2⁻⁹ (as a fraction)? =
  5. 5.What is the value of 3⁶? =
  6. 6.What is the value of 9⁻¹ (as a fraction)? =
  7. 7.Write 700 in standard form as 7 × 10ⁿ. What is n?
  8. 8.7.7 × 10² =
  9. 9.What is the value of 10²? =
  10. 10.Write 21,000 in standard form as 2.1 × 10ⁿ. What is n?
  11. 11.What is the value of (8/9)⁻¹? =
  12. 12.Write 6² × 6⁶ as a single power 6ⁿ. What is n?
  13. 13.Write (7⁴)³ as a single power 7ⁿ. What is n?
  14. 14.What is the value of 2⁻⁸ (as a fraction)? =
  15. 15.What is the value of 3⁶ × 3⁻³? =
  16. 16.6.6 × 10⁷ =
  17. 17.What is the value of 10⁵ × 10⁻⁵? =
  18. 18.Write 71,000 in standard form as 7.1 × 10ⁿ. What is n?
  19. 19.What is the value of 2⁵ × 2⁻²? =
  20. 20.Write 6⁷ × 6³ as a single power 6ⁿ. What is n?
  21. 21.What is the value of 3²? =
  22. 22.Write 2.8 × 10⁻⁴ as a decimal. =
  23. 23.Write 9.2 × 10⁻¹ as a decimal. =
  24. 24.6.9 × 10⁴ =
  25. 25.What is the value of (2/3)⁻²? =
  26. 26.What is the value of 2⁻⁷ (as a fraction)? =
  27. 27.Write 36,00,000 in standard form as 3.6 × 10ⁿ. What is n?
  28. 28.Write 4.9 × 10⁻¹ as a decimal. =
  29. 29.8.5 × 10⁶ =
  30. 30.Write 3¹¹ ÷ 3⁹ as a single power 3ⁿ. What is n?
  31. 31.Write 6.1 × 10⁻³ as a decimal. =
  32. 32.Write (4²)² as a single power 4ⁿ. What is n?
  33. 33.Write 7.4 × 10⁻² as a decimal. =
  34. 34.Write 7¹² ÷ 7⁷ as a single power 7ⁿ. What is n?
  35. 35.What is the value of 7⁻² (as a fraction)? =
  36. 36.Write 4.8 × 10⁻¹ as a decimal. =
  37. 37.4.3 × 10² =
  38. 38.Write (2⁵)⁵ as a single power 2ⁿ. What is n?
  39. 39.What is the value of (2/9)⁻²? =
  40. 40.2.3 × 10⁴ =

Answer key

  1. 36/25
  2. 1/10
  3. 25
  4. 1/512
  5. 729
  6. 1/9
  7. 2
  8. 770
  9. 100
  10. 4
  11. 9/8
  12. 8
  13. 12
  14. 1/256
  15. 27
  16. 66000000
  17. 1
  18. 4
  19. 8
  20. 10
  21. 9
  22. 0.00028
  23. 0.92
  24. 69000
  25. 9/4
  26. 1/128
  27. 6
  28. 0.49
  29. 8500000
  30. 2
  31. 0.0061
  32. 4
  33. 0.074
  34. 5
  35. 1/49
  36. 0.48
  37. 430
  38. 25
  39. 81/4
  40. 23000

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