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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 524 · 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 × 10³ =
  2. 2.Write 5¹⁷ ÷ 5⁹ as a single power 5ⁿ. What is n?
  3. 3.Write 9⁴ × 9⁶ as a single power 9ⁿ. What is n?
  4. 4.What is the value of (2/9)⁻¹? =
  5. 5.What is the value of 5⁴ × 5⁻³? =
  6. 6.Write 6.5 × 10⁻² as a decimal. =
  7. 7.Write 5.7 × 10⁻³ as a decimal. =
  8. 8.Write 3⁸ × 3⁹ as a single power 3ⁿ. What is n?
  9. 9.What is the value of (4/5)⁻¹? =
  10. 10.Write 5.2 × 10⁻⁴ as a decimal. =
  11. 11.8 × 10⁷ =
  12. 12.What is the value of 8³? =
  13. 13.What is the value of 10²? =
  14. 14.Write (9⁶)⁴ as a single power 9ⁿ. What is n?
  15. 15.What is the value of 3⁵? =
  16. 16.What is the value of 9²? =
  17. 17.What is the value of 5¹ × 5⁻²? =
  18. 18.Write 2.7 × 10⁻³ as a decimal. =
  19. 19.What is the value of 2⁶ × 2⁻⁶? =
  20. 20.What is the value of 2⁵ × 2⁻³? =
  21. 21.Write (7³)⁵ as a single power 7ⁿ. What is n?
  22. 22.What is the value of (1/2)⁻²? =
  23. 23.What is the value of (5/8)⁻²? =
  24. 24.Write 3.6 × 10⁻³ as a decimal. =
  25. 25.What is the value of 10³ × 10⁻¹? =
  26. 26.8.4 × 10⁶ =
  27. 27.Write 7.8 × 10⁻³ as a decimal. =
  28. 28.Write (5⁸)⁷ as a single power 5ⁿ. What is n?
  29. 29.What is the value of (1/7)⁻¹? =
  30. 30.6.1 × 10⁴ =
  31. 31.5 × 10⁴ =
  32. 32.1.5 × 10⁴ =
  33. 33.Write 4,40,000 in standard form as 4.4 × 10ⁿ. What is n?
  34. 34.Write 7⁹ × 7³ as a single power 7ⁿ. What is n?
  35. 35.Write 8² × 8³ as a single power 8ⁿ. What is n?
  36. 36.Write 7.5 × 10⁻² as a decimal. =
  37. 37.What is the value of 2¹ × 2⁻³? =
  38. 38.Write 76,000 in standard form as 7.6 × 10ⁿ. What is n?
  39. 39.What is the value of (5/9)⁻¹? =
  40. 40.What is the value of 2²? =

Answer key

  1. 9000
  2. 8
  3. 10
  4. 9/2
  5. 5
  6. 0.065
  7. 0.0057
  8. 17
  9. 5/4
  10. 0.00052
  11. 80000000
  12. 512
  13. 100
  14. 24
  15. 243
  16. 81
  17. 1/5
  18. 0.0027
  19. 1
  20. 4
  21. 15
  22. 4
  23. 64/25
  24. 0.0036
  25. 100
  26. 8400000
  27. 0.0078
  28. 56
  29. 7
  30. 61000
  31. 50000
  32. 15000
  33. 5
  34. 12
  35. 5
  36. 0.075
  37. 1/4
  38. 4
  39. 9/5
  40. 4

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