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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 742 · 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 8⁵? =
  2. 2.Write 3 × 10⁻⁴ as a decimal. =
  3. 3.Write (2⁹)⁶ as a single power 2ⁿ. What is n?
  4. 4.What is the value of (2/7)⁻¹? =
  5. 5.What is the value of 3² × 3⁻²? =
  6. 6.Write 4.8 × 10⁻³ as a decimal. =
  7. 7.What is the value of (5/9)⁻¹? =
  8. 8.Write 8.9 × 10⁻³ as a decimal. =
  9. 9.Write (9⁷)⁹ as a single power 9ⁿ. What is n?
  10. 10.What is the value of 4⁻⁴ (as a fraction)? =
  11. 11.4.1 × 10⁷ =
  12. 12.Write 7.9 × 10⁻¹ as a decimal. =
  13. 13.Write 7.2 × 10⁻² as a decimal. =
  14. 14.What is the value of 2⁻⁷ (as a fraction)? =
  15. 15.Write (9³)³ as a single power 9ⁿ. What is n?
  16. 16.What is the value of 3⁴ × 3⁻³? =
  17. 17.2.7 × 10⁴ =
  18. 18.Write 8.8 × 10⁻¹ as a decimal. =
  19. 19.Write 2⁹ × 2⁵ as a single power 2ⁿ. What is n?
  20. 20.Write 4.3 × 10⁻³ as a decimal. =
  21. 21.What is the value of 2¹¹? =
  22. 22.Write 9⁷ ÷ 9³ as a single power 9ⁿ. What is n?
  23. 23.What is the value of 3⁶ × 3⁻¹? =
  24. 24.What is the value of 5⁶ × 5⁻²? =
  25. 25.8.5 × 10³ =
  26. 26.Write 28,000 in standard form as 2.8 × 10ⁿ. What is n?
  27. 27.What is the value of 3⁻¹ (as a fraction)? =
  28. 28.What is the value of 6⁵? =
  29. 29.What is the value of 10⁴ × 10⁻⁴? =
  30. 30.What is the value of 5³? =
  31. 31.What is the value of (4/7)⁻²? =
  32. 32.What is the value of 2²? =
  33. 33.Write 5.8 × 10⁻² as a decimal. =
  34. 34.Write 6.8 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of 5⁴ × 5⁻⁶? =
  36. 36.Write 7¹² ÷ 7⁴ as a single power 7ⁿ. What is n?
  37. 37.What is the value of 2⁵? =
  38. 38.What is the value of 2⁸? =
  39. 39.What is the value of 4⁻³ (as a fraction)? =
  40. 40.What is the value of (2/9)⁻²? =

Answer key

  1. 32768
  2. 0.0003
  3. 54
  4. 7/2
  5. 1
  6. 0.0048
  7. 9/5
  8. 0.0089
  9. 63
  10. 1/256
  11. 41000000
  12. 0.79
  13. 0.072
  14. 1/128
  15. 9
  16. 3
  17. 27000
  18. 0.88
  19. 14
  20. 0.0043
  21. 2048
  22. 4
  23. 243
  24. 625
  25. 8500
  26. 4
  27. 1/3
  28. 7776
  29. 1
  30. 125
  31. 49/16
  32. 4
  33. 0.058
  34. 0.00068
  35. 1/25
  36. 8
  37. 32
  38. 256
  39. 1/64
  40. 81/4

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