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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 154 · 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. 1.9.1 × 10⁵ =
  2. 2.4.7 × 10² =
  3. 3.What is the value of 2⁻⁷ (as a fraction)? =
  4. 4.Write 1.8 × 10⁻⁴ as a decimal. =
  5. 5.What is the value of 2¹¹? =
  6. 6.What is the value of 6⁴? =
  7. 7.Write 8⁷ × 8⁹ as a single power 8ⁿ. What is n?
  8. 8.Write (4⁸)⁹ as a single power 4ⁿ. What is n?
  9. 9.Write 5.6 × 10⁻¹ as a decimal. =
  10. 10.Write 4.1 × 10⁻⁴ as a decimal. =
  11. 11.Write 3⁹ ÷ 3⁴ as a single power 3ⁿ. What is n?
  12. 12.7.9 × 10⁶ =
  13. 13.What is the value of 10¹ × 10⁻²? =
  14. 14.What is the value of 2¹ × 2⁻¹? =
  15. 15.What is the value of 3⁵? =
  16. 16.What is the value of 4⁵? =
  17. 17.What is the value of (7/9)⁻²? =
  18. 18.Write 2.8 × 10⁻³ as a decimal. =
  19. 19.What is the value of 3⁻¹ (as a fraction)? =
  20. 20.What is the value of 7³? =
  21. 21.What is the value of (4/7)⁻²? =
  22. 22.1.7 × 10⁵ =
  23. 23.Write 5³ × 5⁵ as a single power 5ⁿ. What is n?
  24. 24.Write 2.5 × 10⁻³ as a decimal. =
  25. 25.What is the value of 5³? =
  26. 26.Write (8⁴)³ as a single power 8ⁿ. What is n?
  27. 27.What is the value of 10⁻² (as a fraction)? =
  28. 28.Write 6³ × 6⁵ as a single power 6ⁿ. What is n?
  29. 29.Write (3²)⁴ as a single power 3ⁿ. What is n?
  30. 30.8.8 × 10² =
  31. 31.What is the value of 9⁴? =
  32. 32.What is the value of 7²? =
  33. 33.Write 9,70,000 in standard form as 9.7 × 10ⁿ. What is n?
  34. 34.What is the value of 2² × 2⁻³? =
  35. 35.Write 4.5 × 10⁻¹ as a decimal. =
  36. 36.Write 6² × 6⁶ as a single power 6ⁿ. What is n?
  37. 37.6.5 × 10⁷ =
  38. 38.What is the value of 2¹⁰? =
  39. 39.What is the value of 5⁶ × 5⁻⁴? =
  40. 40.What is the value of 5⁴? =

Answer key

  1. 910000
  2. 470
  3. 1/128
  4. 0.00018
  5. 2048
  6. 1296
  7. 16
  8. 72
  9. 0.56
  10. 0.00041
  11. 5
  12. 7900000
  13. 1/10
  14. 1
  15. 243
  16. 1024
  17. 81/49
  18. 0.0028
  19. 1/3
  20. 343
  21. 49/16
  22. 170000
  23. 8
  24. 0.0025
  25. 125
  26. 12
  27. 1/100
  28. 8
  29. 8
  30. 880
  31. 6561
  32. 49
  33. 5
  34. 1/2
  35. 0.45
  36. 8
  37. 65000000
  38. 1024
  39. 25
  40. 625

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