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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 884 · 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 9⁴? =
  2. 2.What is the value of (5/9)⁻¹? =
  3. 3.6.1 × 10³ =
  4. 4.What is the value of 3⁸? =
  5. 5.What is the value of 5⁶? =
  6. 6.Write 2⁴ × 2⁵ as a single power 2ⁿ. What is n?
  7. 7.What is the value of 4⁷? =
  8. 8.1.2 × 10⁴ =
  9. 9.Write 7⁶ × 7⁹ as a single power 7ⁿ. What is n?
  10. 10.What is the value of 5⁶ × 5⁻²? =
  11. 11.What is the value of (1/9)⁻²? =
  12. 12.What is the value of 9⁻² (as a fraction)? =
  13. 13.Write 8¹² ÷ 8⁴ as a single power 8ⁿ. What is n?
  14. 14.Write 4 × 10⁻⁴ as a decimal. =
  15. 15.What is the value of 5¹ × 5⁻³? =
  16. 16.Write 5.9 × 10⁻² as a decimal. =
  17. 17.Write 6⁴ × 6⁴ as a single power 6ⁿ. What is n?
  18. 18.What is the value of 2³ × 2⁻⁶? =
  19. 19.Write 2.6 × 10⁻¹ as a decimal. =
  20. 20.Write 4.6 × 10⁻³ as a decimal. =
  21. 21.What is the value of (1/6)⁻²? =
  22. 22.What is the value of 5⁻¹ (as a fraction)? =
  23. 23.Write 9⁶ × 9⁴ as a single power 9ⁿ. What is n?
  24. 24.What is the value of 5¹ × 5⁻⁵? =
  25. 25.Write 5⁶ × 5⁹ as a single power 5ⁿ. What is n?
  26. 26.Write 6⁹ × 6⁸ as a single power 6ⁿ. What is n?
  27. 27.What is the value of 6⁻² (as a fraction)? =
  28. 28.Write 21,000 in standard form as 2.1 × 10ⁿ. What is n?
  29. 29.What is the value of 2⁸? =
  30. 30.What is the value of 8⁻² (as a fraction)? =
  31. 31.What is the value of 2²? =
  32. 32.What is the value of 10⁴? =
  33. 33.Write 4.1 × 10⁻¹ as a decimal. =
  34. 34.Write 4,100 in standard form as 4.1 × 10ⁿ. What is n?
  35. 35.What is the value of 8⁻³ (as a fraction)? =
  36. 36.Write 6.2 × 10⁻³ as a decimal. =
  37. 37.Write (2⁵)⁴ as a single power 2ⁿ. What is n?
  38. 38.Write 8.9 × 10⁻⁴ as a decimal. =
  39. 39.Write 9⁸ × 9⁷ as a single power 9ⁿ. What is n?
  40. 40.Write 7.8 × 10⁻¹ as a decimal. =

Answer key

  1. 6561
  2. 9/5
  3. 6100
  4. 6561
  5. 15625
  6. 9
  7. 16384
  8. 12000
  9. 15
  10. 625
  11. 81
  12. 1/81
  13. 8
  14. 0.0004
  15. 1/25
  16. 0.059
  17. 8
  18. 1/8
  19. 0.26
  20. 0.0046
  21. 36
  22. 1/5
  23. 10
  24. 1/625
  25. 15
  26. 17
  27. 1/36
  28. 4
  29. 256
  30. 1/64
  31. 4
  32. 10000
  33. 0.41
  34. 3
  35. 1/512
  36. 0.0062
  37. 20
  38. 0.00089
  39. 15
  40. 0.78

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