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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 343 · 40 sums
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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 5⁴ × 5⁻³? =
  2. 2.Write 4.5 × 10⁻³ as a decimal. =
  3. 3.Write 790 in standard form as 7.9 × 10ⁿ. What is n?
  4. 4.Write 4² × 4⁸ as a single power 4ⁿ. What is n?
  5. 5.Write 3,400 in standard form as 3.4 × 10ⁿ. What is n?
  6. 6.What is the value of 2² × 2⁻³? =
  7. 7.What is the value of 9³? =
  8. 8.What is the value of 6⁵? =
  9. 9.What is the value of 5⁶? =
  10. 10.Write 1.2 × 10⁻² as a decimal. =
  11. 11.Write (6⁹)⁷ as a single power 6ⁿ. What is n?
  12. 12.What is the value of 2³ × 2⁻⁵? =
  13. 13.Write 3.2 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of 2⁷? =
  15. 15.Write 7,40,000 in standard form as 7.4 × 10ⁿ. What is n?
  16. 16.What is the value of 3⁻³ (as a fraction)? =
  17. 17.Write (8²)⁴ as a single power 8ⁿ. What is n?
  18. 18.Write 2.2 × 10⁻⁴ as a decimal. =
  19. 19.Write 5¹³ ÷ 5⁴ as a single power 5ⁿ. What is n?
  20. 20.Write 9⁴ × 9⁶ as a single power 9ⁿ. What is n?
  21. 21.Write 9⁶ × 9⁶ as a single power 9ⁿ. What is n?
  22. 22.What is the value of 8²? =
  23. 23.5.1 × 10⁶ =
  24. 24.Write (5⁹)⁶ as a single power 5ⁿ. What is n?
  25. 25.Write 4.8 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of 7⁵? =
  27. 27.What is the value of 5⁴? =
  28. 28.What is the value of (5/8)⁻¹? =
  29. 29.3.1 × 10⁵ =
  30. 30.What is the value of 3⁴ × 3⁻²? =
  31. 31.2.9 × 10³ =
  32. 32.Write 410 in standard form as 4.1 × 10ⁿ. What is n?
  33. 33.What is the value of 10⁻¹ (as a fraction)? =
  34. 34.9.2 × 10⁶ =
  35. 35.Write 1.9 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of (6/7)⁻²? =
  37. 37.What is the value of (4/5)⁻¹? =
  38. 38.What is the value of (7/8)⁻¹? =
  39. 39.Write 35,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  40. 40.What is the value of (3/8)⁻¹? =

Answer key

  1. 5
  2. 0.0045
  3. 2
  4. 10
  5. 3
  6. 1/2
  7. 729
  8. 7776
  9. 15625
  10. 0.012
  11. 63
  12. 1/4
  13. 0.00032
  14. 128
  15. 5
  16. 1/27
  17. 8
  18. 0.00022
  19. 9
  20. 10
  21. 12
  22. 64
  23. 5100000
  24. 54
  25. 0.00048
  26. 16807
  27. 625
  28. 8/5
  29. 310000
  30. 9
  31. 2900
  32. 2
  33. 1/10
  34. 9200000
  35. 0.00019
  36. 49/36
  37. 5/4
  38. 8/7
  39. 6
  40. 8/3

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