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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 380 · 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 8 × 10⁻¹ as a decimal. =
  2. 2.Write 55,000 in standard form as 5.5 × 10ⁿ. What is n?
  3. 3.2.6 × 10² =
  4. 4.Write 5⁸ × 5⁷ as a single power 5ⁿ. What is n?
  5. 5.What is the value of 8⁻² (as a fraction)? =
  6. 6.Write 470 in standard form as 4.7 × 10ⁿ. What is n?
  7. 7.Write 7⁶ × 7² as a single power 7ⁿ. What is n?
  8. 8.What is the value of 7²? =
  9. 9.Write 2.3 × 10⁻³ as a decimal. =
  10. 10.What is the value of 5³ × 5⁻⁵? =
  11. 11.What is the value of 6⁵? =
  12. 12.What is the value of 3¹ × 3⁻⁴? =
  13. 13.Write 4.6 × 10⁻¹ as a decimal. =
  14. 14.Write 1.6 × 10⁻² as a decimal. =
  15. 15.What is the value of 10⁴ × 10⁻⁵? =
  16. 16.What is the value of 2⁶ × 2⁻⁴? =
  17. 17.What is the value of 2⁴? =
  18. 18.What is the value of 4⁷? =
  19. 19.What is the value of 3⁸? =
  20. 20.Write 9 × 10⁻² as a decimal. =
  21. 21.What is the value of 9⁵? =
  22. 22.What is the value of 10³? =
  23. 23.Write 5.5 × 10⁻³ as a decimal. =
  24. 24.6.4 × 10⁷ =
  25. 25.What is the value of 2¹⁰? =
  26. 26.What is the value of 10² × 10⁻¹? =
  27. 27.Write 8³ × 8² as a single power 8ⁿ. What is n?
  28. 28.What is the value of 5²? =
  29. 29.Write (3⁴)² as a single power 3ⁿ. What is n?
  30. 30.Write 9⁷ × 9⁸ as a single power 9ⁿ. What is n?
  31. 31.Write 3⁷ × 3³ as a single power 3ⁿ. What is n?
  32. 32.Write 3.8 × 10⁻⁴ as a decimal. =
  33. 33.Write 3.2 × 10⁻² as a decimal. =
  34. 34.What is the value of 8²? =
  35. 35.What is the value of 5³? =
  36. 36.Write 4¹³ ÷ 4⁵ as a single power 4ⁿ. What is n?
  37. 37.What is the value of 5⁴ × 5⁻⁴? =
  38. 38.Write 1.6 × 10⁻⁴ as a decimal. =
  39. 39.What is the value of 6³? =
  40. 40.What is the value of 3¹ × 3⁻³? =

Answer key

  1. 0.8
  2. 4
  3. 260
  4. 15
  5. 1/64
  6. 2
  7. 8
  8. 49
  9. 0.0023
  10. 1/25
  11. 7776
  12. 1/27
  13. 0.46
  14. 0.016
  15. 1/10
  16. 4
  17. 16
  18. 16384
  19. 6561
  20. 0.09
  21. 59049
  22. 1000
  23. 0.0055
  24. 64000000
  25. 1024
  26. 10
  27. 5
  28. 25
  29. 8
  30. 15
  31. 10
  32. 0.00038
  33. 0.032
  34. 64
  35. 125
  36. 8
  37. 1
  38. 0.00016
  39. 216
  40. 1/9

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