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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 265 · 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 6.6 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of 2¹⁴? =
  3. 3.6 × 10³ =
  4. 4.What is the value of (4/7)⁻¹? =
  5. 5.What is the value of 5⁷? =
  6. 6.What is the value of 3² × 3⁻³? =
  7. 7.What is the value of 5⁶? =
  8. 8.What is the value of 10¹ × 10⁻⁵? =
  9. 9.8.3 × 10⁶ =
  10. 10.Write 6.5 × 10⁻¹ as a decimal. =
  11. 11.Write (2²)³ as a single power 2ⁿ. What is n?
  12. 12.What is the value of 2⁻⁸ (as a fraction)? =
  13. 13.What is the value of 2⁹? =
  14. 14.Write 6.2 × 10⁻¹ as a decimal. =
  15. 15.What is the value of 5⁴ × 5⁻⁴? =
  16. 16.What is the value of 5⁵ × 5⁻¹? =
  17. 17.Write 33,000 in standard form as 3.3 × 10ⁿ. What is n?
  18. 18.What is the value of 4³? =
  19. 19.What is the value of 10⁶ × 10⁻⁴? =
  20. 20.3.5 × 10⁵ =
  21. 21.Write 7.6 × 10⁻⁴ as a decimal. =
  22. 22.What is the value of 3⁶ × 3⁻⁴? =
  23. 23.Write (9⁴)² as a single power 9ⁿ. What is n?
  24. 24.Write 6.1 × 10⁻⁴ as a decimal. =
  25. 25.What is the value of 2⁴? =
  26. 26.What is the value of 3² × 3⁻¹? =
  27. 27.Write 1.1 × 10⁻⁴ as a decimal. =
  28. 28.What is the value of 8⁴? =
  29. 29.Write 7¹² ÷ 7⁷ as a single power 7ⁿ. What is n?
  30. 30.What is the value of 4⁵? =
  31. 31.Write 2.4 × 10⁻³ as a decimal. =
  32. 32.What is the value of 8²? =
  33. 33.Write 300 in standard form as 3 × 10ⁿ. What is n?
  34. 34.What is the value of 5¹ × 5⁻¹? =
  35. 35.Write 6.7 × 10⁻¹ as a decimal. =
  36. 36.Write 79,000 in standard form as 7.9 × 10ⁿ. What is n?
  37. 37.What is the value of 3⁻⁵ (as a fraction)? =
  38. 38.What is the value of (8/9)⁻¹? =
  39. 39.Write 8.4 × 10⁻⁴ as a decimal. =
  40. 40.Write 5.9 × 10⁻¹ as a decimal. =

Answer key

  1. 0.00066
  2. 16384
  3. 6000
  4. 7/4
  5. 78125
  6. 1/3
  7. 15625
  8. 1/10000
  9. 8300000
  10. 0.65
  11. 6
  12. 1/256
  13. 512
  14. 0.62
  15. 1
  16. 625
  17. 4
  18. 64
  19. 100
  20. 350000
  21. 0.00076
  22. 9
  23. 8
  24. 0.00061
  25. 16
  26. 3
  27. 0.00011
  28. 4096
  29. 5
  30. 1024
  31. 0.0024
  32. 64
  33. 2
  34. 1
  35. 0.67
  36. 4
  37. 1/243
  38. 9/8
  39. 0.00084
  40. 0.59

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