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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 892 · 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 5²? =
  2. 2.What is the value of (3/8)⁻¹? =
  3. 3.Write 54,00,000 in standard form as 5.4 × 10ⁿ. What is n?
  4. 4.What is the value of 2¹⁴? =
  5. 5.Write 4.6 × 10⁻¹ as a decimal. =
  6. 6.Write 2² × 2⁵ as a single power 2ⁿ. What is n?
  7. 7.Write 2,70,000 in standard form as 2.7 × 10ⁿ. What is n?
  8. 8.What is the value of 10³ × 10⁻⁵? =
  9. 9.What is the value of 3¹ × 3⁻⁴? =
  10. 10.What is the value of 9⁻² (as a fraction)? =
  11. 11.What is the value of 10⁵? =
  12. 12.What is the value of (3/7)⁻²? =
  13. 13.What is the value of 4⁻¹ (as a fraction)? =
  14. 14.Write (5²)⁹ as a single power 5ⁿ. What is n?
  15. 15.What is the value of 2² × 2⁻²? =
  16. 16.What is the value of 5⁶? =
  17. 17.Write 8.5 × 10⁻¹ as a decimal. =
  18. 18.Write 3.7 × 10⁻² as a decimal. =
  19. 19.Write 5.5 × 10⁻⁴ as a decimal. =
  20. 20.Write 3.1 × 10⁻² as a decimal. =
  21. 21.Write 6⁹ × 6⁹ as a single power 6ⁿ. What is n?
  22. 22.Write 9⁸ × 9⁶ as a single power 9ⁿ. What is n?
  23. 23.What is the value of 2¹ × 2⁻²? =
  24. 24.1.4 × 10² =
  25. 25.Write 6 × 10⁻² as a decimal. =
  26. 26.Write 5⁷ ÷ 5³ as a single power 5ⁿ. What is n?
  27. 27.Write 2.1 × 10⁻² as a decimal. =
  28. 28.What is the value of (1/3)⁻²? =
  29. 29.Write 4.3 × 10⁻² as a decimal. =
  30. 30.What is the value of 2⁻⁴ (as a fraction)? =
  31. 31.What is the value of (1/6)⁻¹? =
  32. 32.Write 5⁴ × 5⁵ as a single power 5ⁿ. What is n?
  33. 33.What is the value of 3³? =
  34. 34.Write (6²)⁶ as a single power 6ⁿ. What is n?
  35. 35.Write 49,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  36. 36.Write 3¹¹ ÷ 3⁴ as a single power 3ⁿ. What is n?
  37. 37.What is the value of 3⁴ × 3⁻¹? =
  38. 38.2.3 × 10³ =
  39. 39.What is the value of (1/2)⁻¹? =
  40. 40.What is the value of 2⁹? =

Answer key

  1. 25
  2. 8/3
  3. 6
  4. 16384
  5. 0.46
  6. 7
  7. 5
  8. 1/100
  9. 1/27
  10. 1/81
  11. 100000
  12. 49/9
  13. 1/4
  14. 18
  15. 1
  16. 15625
  17. 0.85
  18. 0.037
  19. 0.00055
  20. 0.031
  21. 18
  22. 14
  23. 1/2
  24. 140
  25. 0.06
  26. 4
  27. 0.021
  28. 9
  29. 0.043
  30. 1/16
  31. 6
  32. 9
  33. 27
  34. 12
  35. 6
  36. 7
  37. 27
  38. 2300
  39. 2
  40. 512

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