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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 538 · 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 5²? =
  2. 2.What is the value of 3⁶ × 3⁻³? =
  3. 3.What is the value of 2² × 2⁻¹? =
  4. 4.Write 1.3 × 10⁻⁴ as a decimal. =
  5. 5.What is the value of 4⁷? =
  6. 6.What is the value of 5² × 5⁻⁵? =
  7. 7.What is the value of 7³? =
  8. 8.What is the value of 2⁶? =
  9. 9.Write 8³ × 8⁹ as a single power 8ⁿ. What is n?
  10. 10.What is the value of 2¹⁶? =
  11. 11.Write 8⁹ ÷ 8² as a single power 8ⁿ. What is n?
  12. 12.What is the value of 9⁻¹ (as a fraction)? =
  13. 13.Write 3.6 × 10⁻¹ as a decimal. =
  14. 14.What is the value of (3/5)⁻¹? =
  15. 15.What is the value of 10⁶ × 10⁻⁴? =
  16. 16.Write 3⁹ × 3⁴ as a single power 3ⁿ. What is n?
  17. 17.Write 7¹² ÷ 7⁴ as a single power 7ⁿ. What is n?
  18. 18.What is the value of 2²? =
  19. 19.Write 5.5 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 2⁻⁴ (as a fraction)? =
  21. 21.What is the value of 2⁻¹ (as a fraction)? =
  22. 22.Write 5.6 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 5² × 5⁻⁴? =
  24. 24.What is the value of 3⁴ × 3⁻²? =
  25. 25.Write 7.9 × 10⁻³ as a decimal. =
  26. 26.What is the value of 7⁻¹ (as a fraction)? =
  27. 27.1.9 × 10⁷ =
  28. 28.What is the value of 7²? =
  29. 29.Write 7⁷ × 7⁸ as a single power 7ⁿ. What is n?
  30. 30.Write (5³)⁶ as a single power 5ⁿ. What is n?
  31. 31.What is the value of 10⁵ × 10⁻⁴? =
  32. 32.Write 6.5 × 10⁻³ as a decimal. =
  33. 33.Write 3⁴ ÷ 3² as a single power 3ⁿ. What is n?
  34. 34.What is the value of 10¹ × 10⁻²? =
  35. 35.Write 2,70,00,000 in standard form as 2.7 × 10ⁿ. What is n?
  36. 36.What is the value of 10⁵? =
  37. 37.What is the value of 10³? =
  38. 38.What is the value of 2¹¹? =
  39. 39.3.7 × 10⁷ =
  40. 40.What is the value of 2² × 2⁻⁵? =

Answer key

  1. 25
  2. 27
  3. 2
  4. 0.00013
  5. 16384
  6. 1/125
  7. 343
  8. 64
  9. 12
  10. 65536
  11. 7
  12. 1/9
  13. 0.36
  14. 5/3
  15. 100
  16. 13
  17. 8
  18. 4
  19. 0.55
  20. 1/16
  21. 1/2
  22. 0.56
  23. 1/25
  24. 9
  25. 0.0079
  26. 1/7
  27. 19000000
  28. 49
  29. 15
  30. 18
  31. 10
  32. 0.0065
  33. 2
  34. 1/10
  35. 7
  36. 100000
  37. 1000
  38. 2048
  39. 37000000
  40. 1/8

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