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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 193 · 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 5⁴ × 5⁻¹? =
  2. 2.What is the value of (1/8)⁻¹? =
  3. 3.Write 280 in standard form as 2.8 × 10ⁿ. What is n?
  4. 4.What is the value of 2¹¹? =
  5. 5.What is the value of 2⁶ × 2⁻⁴? =
  6. 6.Write 6⁵ × 6⁴ as a single power 6ⁿ. What is n?
  7. 7.What is the value of 2² × 2⁻²? =
  8. 8.What is the value of 8²? =
  9. 9.Write 9.1 × 10⁻¹ as a decimal. =
  10. 10.6.3 × 10³ =
  11. 11.Write 4 × 10⁻¹ as a decimal. =
  12. 12.Write 3.2 × 10⁻³ as a decimal. =
  13. 13.Write (9⁹)⁴ as a single power 9ⁿ. What is n?
  14. 14.Write 7⁸ × 7⁴ as a single power 7ⁿ. What is n?
  15. 15.Write (3⁹)⁶ as a single power 3ⁿ. What is n?
  16. 16.Write 7.2 × 10⁻⁴ as a decimal. =
  17. 17.Write 9² × 9⁵ as a single power 9ⁿ. What is n?
  18. 18.What is the value of 5⁻¹ (as a fraction)? =
  19. 19.What is the value of 2⁵? =
  20. 20.What is the value of (3/4)⁻²? =
  21. 21.What is the value of (5/6)⁻²? =
  22. 22.What is the value of 8³? =
  23. 23.What is the value of 3⁻⁴ (as a fraction)? =
  24. 24.Write 5,10,000 in standard form as 5.1 × 10ⁿ. What is n?
  25. 25.What is the value of 3³ × 3⁻⁶? =
  26. 26.Write 4.3 × 10⁻⁴ as a decimal. =
  27. 27.What is the value of 2⁷? =
  28. 28.What is the value of 5³ × 5⁻³? =
  29. 29.What is the value of 2¹⁵? =
  30. 30.What is the value of 3⁻² (as a fraction)? =
  31. 31.Write (6²)⁹ as a single power 6ⁿ. What is n?
  32. 32.Write 13,00,000 in standard form as 1.3 × 10ⁿ. What is n?
  33. 33.Write 4.7 × 10⁻² as a decimal. =
  34. 34.What is the value of 3² × 3⁻⁶? =
  35. 35.Write 44,000 in standard form as 4.4 × 10ⁿ. What is n?
  36. 36.Write 8¹⁸ ÷ 8⁹ as a single power 8ⁿ. What is n?
  37. 37.Write 2.4 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 3⁵ × 3⁻²? =
  39. 39.Write 3⁹ × 3³ as a single power 3ⁿ. What is n?
  40. 40.Write 1.1 × 10⁻³ as a decimal. =

Answer key

  1. 125
  2. 8
  3. 2
  4. 2048
  5. 4
  6. 9
  7. 1
  8. 64
  9. 0.91
  10. 6300
  11. 0.4
  12. 0.0032
  13. 36
  14. 12
  15. 54
  16. 0.00072
  17. 7
  18. 1/5
  19. 32
  20. 16/9
  21. 36/25
  22. 512
  23. 1/81
  24. 5
  25. 1/27
  26. 0.00043
  27. 128
  28. 1
  29. 32768
  30. 1/9
  31. 18
  32. 6
  33. 0.047
  34. 1/81
  35. 4
  36. 9
  37. 0.24
  38. 27
  39. 12
  40. 0.0011

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