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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 724 · 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 (2²)⁶ as a single power 2ⁿ. What is n?
  2. 2.What is the value of 6⁶? =
  3. 3.What is the value of (1/5)⁻¹? =
  4. 4.What is the value of 7⁻¹ (as a fraction)? =
  5. 5.What is the value of 5⁻³ (as a fraction)? =
  6. 6.What is the value of 2² × 2⁻¹? =
  7. 7.Write 9⁹ × 9⁴ as a single power 9ⁿ. What is n?
  8. 8.What is the value of 8³? =
  9. 9.What is the value of 2³? =
  10. 10.Write (5⁹)⁸ as a single power 5ⁿ. What is n?
  11. 11.Write 770 in standard form as 7.7 × 10ⁿ. What is n?
  12. 12.Write 2² × 2⁵ as a single power 2ⁿ. What is n?
  13. 13.Write 9 × 10⁻¹ as a decimal. =
  14. 14.Write 6⁵ × 6⁶ as a single power 6ⁿ. What is n?
  15. 15.Write (8⁹)³ as a single power 8ⁿ. What is n?
  16. 16.Write 7.3 × 10⁻³ as a decimal. =
  17. 17.2.1 × 10³ =
  18. 18.Write 9.6 × 10⁻¹ as a decimal. =
  19. 19.Write 1.6 × 10⁻³ as a decimal. =
  20. 20.What is the value of 2¹⁴? =
  21. 21.Write 7⁶ × 7⁵ as a single power 7ⁿ. What is n?
  22. 22.What is the value of 10³ × 10⁻⁴? =
  23. 23.Write 1.7 × 10⁻¹ as a decimal. =
  24. 24.Write 5.3 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 2³ × 2⁻⁶? =
  26. 26.What is the value of 4⁶? =
  27. 27.Write 5¹³ ÷ 5⁷ as a single power 5ⁿ. What is n?
  28. 28.Write 2.7 × 10⁻⁴ as a decimal. =
  29. 29.Write 8.8 × 10⁻² as a decimal. =
  30. 30.What is the value of 5⁷? =
  31. 31.What is the value of 2¹⁰? =
  32. 32.What is the value of 6⁴? =
  33. 33.Write 7¹⁰ ÷ 7⁸ as a single power 7ⁿ. What is n?
  34. 34.Write 3¹¹ ÷ 3⁶ as a single power 3ⁿ. What is n?
  35. 35.What is the value of (3/8)⁻¹? =
  36. 36.What is the value of 8⁻¹ (as a fraction)? =
  37. 37.What is the value of 2⁻⁶ (as a fraction)? =
  38. 38.What is the value of 2⁻¹ (as a fraction)? =
  39. 39.Write 8.2 × 10⁻² as a decimal. =
  40. 40.Write 3⁹ × 3⁹ as a single power 3ⁿ. What is n?

Answer key

  1. 12
  2. 46656
  3. 5
  4. 1/7
  5. 1/125
  6. 2
  7. 13
  8. 512
  9. 8
  10. 72
  11. 2
  12. 7
  13. 0.9
  14. 11
  15. 27
  16. 0.0073
  17. 2100
  18. 0.96
  19. 0.0016
  20. 16384
  21. 11
  22. 1/10
  23. 0.17
  24. 0.53
  25. 1/8
  26. 4096
  27. 6
  28. 0.00027
  29. 0.088
  30. 78125
  31. 1024
  32. 1296
  33. 2
  34. 5
  35. 8/3
  36. 1/8
  37. 1/64
  38. 1/2
  39. 0.082
  40. 18

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