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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 965 · 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 (3/5)⁻²? =
  2. 2.Write 5¹⁷ ÷ 5⁹ as a single power 5ⁿ. What is n?
  3. 3.Write 8.7 × 10⁻² as a decimal. =
  4. 4.Write (4⁸)⁴ as a single power 4ⁿ. What is n?
  5. 5.Write 340 in standard form as 3.4 × 10ⁿ. What is n?
  6. 6.What is the value of 5⁵ × 5⁻¹? =
  7. 7.Write 4,80,00,000 in standard form as 4.8 × 10ⁿ. What is n?
  8. 8.What is the value of (5/6)⁻²? =
  9. 9.What is the value of 6⁵? =
  10. 10.What is the value of 7³? =
  11. 11.What is the value of 2⁵? =
  12. 12.What is the value of (2/3)⁻²? =
  13. 13.Write 1.4 × 10⁻² as a decimal. =
  14. 14.What is the value of 7⁴? =
  15. 15.What is the value of 10²? =
  16. 16.What is the value of 8⁻² (as a fraction)? =
  17. 17.What is the value of 9⁻¹ (as a fraction)? =
  18. 18.What is the value of 3⁻⁶ (as a fraction)? =
  19. 19.What is the value of 9⁻² (as a fraction)? =
  20. 20.Write 4.4 × 10⁻² as a decimal. =
  21. 21.8.6 × 10³ =
  22. 22.Write 1.2 × 10⁻² as a decimal. =
  23. 23.What is the value of (2/9)⁻¹? =
  24. 24.Write 4.2 × 10⁻⁴ as a decimal. =
  25. 25.What is the value of 3³ × 3⁻²? =
  26. 26.What is the value of 10² × 10⁻²? =
  27. 27.Write 8⁷ ÷ 8³ as a single power 8ⁿ. What is n?
  28. 28.What is the value of 4²? =
  29. 29.Write 8.8 × 10⁻³ as a decimal. =
  30. 30.Write 3⁷ × 3³ as a single power 3ⁿ. What is n?
  31. 31.Write 1.2 × 10⁻³ as a decimal. =
  32. 32.What is the value of 3¹⁰? =
  33. 33.What is the value of 3⁵? =
  34. 34.Write 2³ × 2⁸ as a single power 2ⁿ. What is n?
  35. 35.What is the value of 5⁷? =
  36. 36.Write 2 × 10⁻² as a decimal. =
  37. 37.What is the value of 3²? =
  38. 38.What is the value of 8⁴? =
  39. 39.What is the value of 2¹⁰? =
  40. 40.What is the value of (4/7)⁻¹? =

Answer key

  1. 25/9
  2. 8
  3. 0.087
  4. 32
  5. 2
  6. 625
  7. 7
  8. 36/25
  9. 7776
  10. 343
  11. 32
  12. 9/4
  13. 0.014
  14. 2401
  15. 100
  16. 1/64
  17. 1/9
  18. 1/729
  19. 1/81
  20. 0.044
  21. 8600
  22. 0.012
  23. 9/2
  24. 0.00042
  25. 3
  26. 1
  27. 4
  28. 16
  29. 0.0088
  30. 10
  31. 0.0012
  32. 59049
  33. 243
  34. 11
  35. 78125
  36. 0.02
  37. 9
  38. 4096
  39. 1024
  40. 7/4

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