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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 920 · 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.Write 3⁸ × 3⁶ as a single power 3ⁿ. What is n?
  2. 2.What is the value of (4/9)⁻¹? =
  3. 3.What is the value of 2⁻³ (as a fraction)? =
  4. 4.What is the value of 3² × 3⁻⁴? =
  5. 5.What is the value of (1/4)⁻¹? =
  6. 6.Write 1.9 × 10⁻¹ as a decimal. =
  7. 7.7 × 10² =
  8. 8.What is the value of 6³? =
  9. 9.What is the value of 2⁵ × 2⁻⁶? =
  10. 10.2.8 × 10² =
  11. 11.What is the value of 10⁶ × 10⁻¹? =
  12. 12.What is the value of 8⁵? =
  13. 13.What is the value of 2³? =
  14. 14.Write 7.3 × 10⁻¹ as a decimal. =
  15. 15.Write 6.5 × 10⁻³ as a decimal. =
  16. 16.Write 4.1 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 10⁵? =
  18. 18.Write 39,000 in standard form as 3.9 × 10ⁿ. What is n?
  19. 19.Write 6,60,00,000 in standard form as 6.6 × 10ⁿ. What is n?
  20. 20.What is the value of 2⁶ × 2⁻²? =
  21. 21.Write (2⁷)⁸ as a single power 2ⁿ. What is n?
  22. 22.What is the value of (8/9)⁻¹? =
  23. 23.What is the value of 10⁶ × 10⁻⁵? =
  24. 24.6 × 10⁷ =
  25. 25.What is the value of 10⁴ × 10⁻²? =
  26. 26.What is the value of 4⁻¹ (as a fraction)? =
  27. 27.What is the value of 5⁶? =
  28. 28.What is the value of 2¹⁰? =
  29. 29.What is the value of 2⁻¹ (as a fraction)? =
  30. 30.2.4 × 10³ =
  31. 31.What is the value of 2¹⁴? =
  32. 32.Write 2¹⁴ ÷ 2⁵ as a single power 2ⁿ. What is n?
  33. 33.What is the value of 3³ × 3⁻⁶? =
  34. 34.Write (8⁶)² as a single power 8ⁿ. What is n?
  35. 35.What is the value of 10⁻¹ (as a fraction)? =
  36. 36.Write 9.7 × 10⁻² as a decimal. =
  37. 37.Write (9⁴)⁵ as a single power 9ⁿ. What is n?
  38. 38.What is the value of 4⁻⁴ (as a fraction)? =
  39. 39.Write (2⁵)⁹ as a single power 2ⁿ. What is n?
  40. 40.What is the value of 2⁶? =

Answer key

  1. 14
  2. 9/4
  3. 1/8
  4. 1/9
  5. 4
  6. 0.19
  7. 700
  8. 216
  9. 1/2
  10. 280
  11. 100000
  12. 32768
  13. 8
  14. 0.73
  15. 0.0065
  16. 0.41
  17. 100000
  18. 4
  19. 7
  20. 16
  21. 56
  22. 9/8
  23. 10
  24. 60000000
  25. 100
  26. 1/4
  27. 15625
  28. 1024
  29. 1/2
  30. 2400
  31. 16384
  32. 9
  33. 1/27
  34. 12
  35. 1/10
  36. 0.097
  37. 20
  38. 1/256
  39. 45
  40. 64

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