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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 175 · 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 (2/3)⁻¹? =
  2. 2.Write 230 in standard form as 2.3 × 10ⁿ. What is n?
  3. 3.What is the value of 7³? =
  4. 4.Write 2.9 × 10⁻⁴ as a decimal. =
  5. 5.What is the value of (1/5)⁻¹? =
  6. 6.What is the value of 2⁻⁵ (as a fraction)? =
  7. 7.What is the value of 6⁻¹ (as a fraction)? =
  8. 8.Write 9¹² ÷ 9⁹ as a single power 9ⁿ. What is n?
  9. 9.Write 5.4 × 10⁻² as a decimal. =
  10. 10.What is the value of 10⁶ × 10⁻²? =
  11. 11.What is the value of 2⁴? =
  12. 12.Write 3.7 × 10⁻⁴ as a decimal. =
  13. 13.Write 9.1 × 10⁻³ as a decimal. =
  14. 14.What is the value of 5³ × 5⁻²? =
  15. 15.What is the value of 8⁻³ (as a fraction)? =
  16. 16.Write 1.8 × 10⁻¹ as a decimal. =
  17. 17.Write 2.3 × 10⁻⁴ as a decimal. =
  18. 18.What is the value of 2⁻⁶ (as a fraction)? =
  19. 19.What is the value of 7⁻¹ (as a fraction)? =
  20. 20.3 × 10⁶ =
  21. 21.Write 85,00,000 in standard form as 8.5 × 10ⁿ. What is n?
  22. 22.Write (5⁹)⁴ as a single power 5ⁿ. What is n?
  23. 23.What is the value of 7⁻² (as a fraction)? =
  24. 24.What is the value of 3³? =
  25. 25.Write 4.8 × 10⁻⁴ as a decimal. =
  26. 26.Write 6⁸ × 6³ as a single power 6ⁿ. What is n?
  27. 27.What is the value of 6⁻³ (as a fraction)? =
  28. 28.What is the value of 7²? =
  29. 29.What is the value of 5³ × 5⁻¹? =
  30. 30.What is the value of 2⁵? =
  31. 31.Write 4¹¹ ÷ 4⁹ as a single power 4ⁿ. What is n?
  32. 32.What is the value of (1/3)⁻²? =
  33. 33.Write 3¹⁴ ÷ 3⁵ as a single power 3ⁿ. What is n?
  34. 34.Write 4.9 × 10⁻² as a decimal. =
  35. 35.Write 9⁸ × 9⁷ as a single power 9ⁿ. What is n?
  36. 36.Write 4.4 × 10⁻¹ as a decimal. =
  37. 37.Write 5⁴ × 5⁸ as a single power 5ⁿ. What is n?
  38. 38.What is the value of 3⁻⁵ (as a fraction)? =
  39. 39.Write 2.1 × 10⁻¹ as a decimal. =
  40. 40.What is the value of 4⁷? =

Answer key

  1. 3/2
  2. 2
  3. 343
  4. 0.00029
  5. 5
  6. 1/32
  7. 1/6
  8. 3
  9. 0.054
  10. 10000
  11. 16
  12. 0.00037
  13. 0.0091
  14. 5
  15. 1/512
  16. 0.18
  17. 0.00023
  18. 1/64
  19. 1/7
  20. 3000000
  21. 6
  22. 36
  23. 1/49
  24. 27
  25. 0.00048
  26. 11
  27. 1/216
  28. 49
  29. 25
  30. 32
  31. 2
  32. 9
  33. 9
  34. 0.049
  35. 15
  36. 0.44
  37. 12
  38. 1/243
  39. 0.21
  40. 16384

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