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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 984 · 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 4⁻¹ (as a fraction)? =
  2. 2.Write 3,00,00,000 in standard form as 3 × 10ⁿ. What is n?
  3. 3.What is the value of (3/7)⁻¹? =
  4. 4.What is the value of 5³? =
  5. 5.Write 6.3 × 10⁻¹ as a decimal. =
  6. 6.5.3 × 10² =
  7. 7.Write 7.4 × 10⁻⁴ as a decimal. =
  8. 8.What is the value of 5⁴ × 5⁻⁴? =
  9. 9.What is the value of 10³ × 10⁻²? =
  10. 10.What is the value of (3/8)⁻²? =
  11. 11.What is the value of 8⁻³ (as a fraction)? =
  12. 12.Write 9⁵ × 9⁷ as a single power 9ⁿ. What is n?
  13. 13.What is the value of 2⁶? =
  14. 14.What is the value of 10² × 10⁻⁴? =
  15. 15.Write 11,00,000 in standard form as 1.1 × 10ⁿ. What is n?
  16. 16.What is the value of 3¹ × 3⁻⁶? =
  17. 17.Write 86,00,000 in standard form as 8.6 × 10ⁿ. What is n?
  18. 18.Write 8.7 × 10⁻³ as a decimal. =
  19. 19.Write 3¹³ ÷ 3⁶ as a single power 3ⁿ. What is n?
  20. 20.Write 3.8 × 10⁻¹ as a decimal. =
  21. 21.Write 8⁹ × 8⁹ as a single power 8ⁿ. What is n?
  22. 22.What is the value of (1/8)⁻¹? =
  23. 23.Write 220 in standard form as 2.2 × 10ⁿ. What is n?
  24. 24.Write (7³)³ as a single power 7ⁿ. What is n?
  25. 25.What is the value of (2/9)⁻²? =
  26. 26.What is the value of 3⁴? =
  27. 27.What is the value of 5⁵ × 5⁻⁵? =
  28. 28.What is the value of (1/3)⁻²? =
  29. 29.What is the value of 3⁶? =
  30. 30.What is the value of 2² × 2⁻⁵? =
  31. 31.What is the value of 10⁻¹ (as a fraction)? =
  32. 32.Write 8¹⁴ ÷ 8⁹ as a single power 8ⁿ. What is n?
  33. 33.Write 8.1 × 10⁻² as a decimal. =
  34. 34.What is the value of 3¹ × 3⁻⁵? =
  35. 35.Write 7.5 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 6²? =
  37. 37.1.3 × 10³ =
  38. 38.What is the value of 5⁵ × 5⁻¹? =
  39. 39.What is the value of 2¹ × 2⁻¹? =
  40. 40.Write 9 × 10⁻² as a decimal. =

Answer key

  1. 1/4
  2. 7
  3. 7/3
  4. 125
  5. 0.63
  6. 530
  7. 0.00074
  8. 1
  9. 10
  10. 64/9
  11. 1/512
  12. 12
  13. 64
  14. 1/100
  15. 6
  16. 1/243
  17. 6
  18. 0.0087
  19. 7
  20. 0.38
  21. 18
  22. 8
  23. 2
  24. 9
  25. 81/4
  26. 81
  27. 1
  28. 9
  29. 729
  30. 1/8
  31. 1/10
  32. 5
  33. 0.081
  34. 1/81
  35. 0.75
  36. 36
  37. 1300
  38. 625
  39. 1
  40. 0.09

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