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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 247 · 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 3²? =
  2. 2.What is the value of 2³? =
  3. 3.Write (2⁸)³ as a single power 2ⁿ. What is n?
  4. 4.4.1 × 10⁷ =
  5. 5.Write (9²)² as a single power 9ⁿ. What is n?
  6. 6.Write 9.1 × 10⁻⁴ as a decimal. =
  7. 7.Write 3² × 3⁹ as a single power 3ⁿ. What is n?
  8. 8.Write 4⁸ ÷ 4⁵ as a single power 4ⁿ. What is n?
  9. 9.What is the value of 2⁻³ (as a fraction)? =
  10. 10.What is the value of 2⁻⁴ (as a fraction)? =
  11. 11.What is the value of 2² × 2⁻⁴? =
  12. 12.What is the value of 6³? =
  13. 13.What is the value of (2/3)⁻¹? =
  14. 14.Write (7²)⁷ as a single power 7ⁿ. What is n?
  15. 15.Write 5¹⁶ ÷ 5⁹ as a single power 5ⁿ. What is n?
  16. 16.Write 1.1 × 10⁻³ as a decimal. =
  17. 17.Write 28,000 in standard form as 2.8 × 10ⁿ. What is n?
  18. 18.What is the value of 2¹⁴? =
  19. 19.What is the value of 3¹ × 3⁻⁵? =
  20. 20.Write (4⁹)⁶ as a single power 4ⁿ. What is n?
  21. 21.1.3 × 10⁵ =
  22. 22.Write 1.8 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of (7/9)⁻¹? =
  24. 24.What is the value of 4⁻³ (as a fraction)? =
  25. 25.Write 83,00,000 in standard form as 8.3 × 10ⁿ. What is n?
  26. 26.Write 5.6 × 10⁻² as a decimal. =
  27. 27.Write 8.4 × 10⁻¹ as a decimal. =
  28. 28.3.6 × 10³ =
  29. 29.Write 2⁵ × 2⁵ as a single power 2ⁿ. What is n?
  30. 30.Write (6²)⁸ as a single power 6ⁿ. What is n?
  31. 31.What is the value of 5⁷? =
  32. 32.6.2 × 10³ =
  33. 33.Write 3.6 × 10⁻² as a decimal. =
  34. 34.Write 3 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of 3⁷? =
  36. 36.What is the value of 3¹ × 3⁻²? =
  37. 37.Write 8.7 × 10⁻³ as a decimal. =
  38. 38.What is the value of 2⁷? =
  39. 39.Write 8.4 × 10⁻³ as a decimal. =
  40. 40.What is the value of (3/4)⁻²? =

Answer key

  1. 9
  2. 8
  3. 24
  4. 41000000
  5. 4
  6. 0.00091
  7. 11
  8. 3
  9. 1/8
  10. 1/16
  11. 1/4
  12. 216
  13. 3/2
  14. 14
  15. 7
  16. 0.0011
  17. 4
  18. 16384
  19. 1/81
  20. 54
  21. 130000
  22. 0.00018
  23. 9/7
  24. 1/64
  25. 6
  26. 0.056
  27. 0.84
  28. 3600
  29. 10
  30. 16
  31. 78125
  32. 6200
  33. 0.036
  34. 0.0003
  35. 2187
  36. 1/3
  37. 0.0087
  38. 128
  39. 0.0084
  40. 16/9

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