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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 472 · 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.Write 9¹³ ÷ 9⁹ as a single power 9ⁿ. What is n?
  2. 2.What is the value of 8⁵? =
  3. 3.Write (3⁵)⁶ as a single power 3ⁿ. What is n?
  4. 4.What is the value of 9²? =
  5. 5.What is the value of 8⁴? =
  6. 6.Write (7⁴)⁴ as a single power 7ⁿ. What is n?
  7. 7.Write 5,300 in standard form as 5.3 × 10ⁿ. What is n?
  8. 8.What is the value of 9⁻² (as a fraction)? =
  9. 9.Write 2⁹ × 2⁶ as a single power 2ⁿ. What is n?
  10. 10.Write 8² × 8⁸ as a single power 8ⁿ. What is n?
  11. 11.Write 48,000 in standard form as 4.8 × 10ⁿ. What is n?
  12. 12.Write 3.8 × 10⁻³ as a decimal. =
  13. 13.What is the value of 10² × 10⁻⁵? =
  14. 14.Write 6,100 in standard form as 6.1 × 10ⁿ. What is n?
  15. 15.What is the value of (5/6)⁻¹? =
  16. 16.Write 8.7 × 10⁻² as a decimal. =
  17. 17.What is the value of 2³? =
  18. 18.Write 6,20,000 in standard form as 6.2 × 10ⁿ. What is n?
  19. 19.Write 2 × 10⁻³ as a decimal. =
  20. 20.Write (5⁴)⁷ as a single power 5ⁿ. What is n?
  21. 21.4 × 10⁴ =
  22. 22.What is the value of 3⁸? =
  23. 23.What is the value of 9⁴? =
  24. 24.What is the value of (1/9)⁻¹? =
  25. 25.What is the value of 2¹¹? =
  26. 26.What is the value of 2³ × 2⁻⁵? =
  27. 27.Write (4²)⁸ as a single power 4ⁿ. What is n?
  28. 28.Write 9² × 9⁵ as a single power 9ⁿ. What is n?
  29. 29.What is the value of 3¹ × 3⁻¹? =
  30. 30.What is the value of 10⁴ × 10⁻³? =
  31. 31.Write 3⁴ × 3⁵ as a single power 3ⁿ. What is n?
  32. 32.What is the value of 6⁻³ (as a fraction)? =
  33. 33.Write 3.4 × 10⁻² as a decimal. =
  34. 34.Write 98,00,000 in standard form as 9.8 × 10ⁿ. What is n?
  35. 35.Write 6 × 10⁻⁴ as a decimal. =
  36. 36.Write 4⁹ × 4⁸ as a single power 4ⁿ. What is n?
  37. 37.What is the value of 5⁶ × 5⁻⁶? =
  38. 38.What is the value of 6⁴? =
  39. 39.What is the value of (1/9)⁻²? =
  40. 40.1.6 × 10⁴ =

Answer key

  1. 4
  2. 32768
  3. 30
  4. 81
  5. 4096
  6. 16
  7. 3
  8. 1/81
  9. 15
  10. 10
  11. 4
  12. 0.0038
  13. 1/1000
  14. 3
  15. 6/5
  16. 0.087
  17. 8
  18. 5
  19. 0.002
  20. 28
  21. 40000
  22. 6561
  23. 6561
  24. 9
  25. 2048
  26. 1/4
  27. 16
  28. 7
  29. 1
  30. 10
  31. 9
  32. 1/216
  33. 0.034
  34. 6
  35. 0.0006
  36. 17
  37. 1
  38. 1296
  39. 81
  40. 16000

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