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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 519 · 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 8⁷ × 8⁵ as a single power 8ⁿ. What is n?
  2. 2.What is the value of 7⁵? =
  3. 3.What is the value of 3⁻² (as a fraction)? =
  4. 4.What is the value of (3/7)⁻¹? =
  5. 5.Write 1.7 × 10⁻⁴ as a decimal. =
  6. 6.3.2 × 10³ =
  7. 7.Write (2⁷)³ as a single power 2ⁿ. What is n?
  8. 8.Write 2⁹ × 2⁴ as a single power 2ⁿ. What is n?
  9. 9.Write 4.9 × 10⁻¹ as a decimal. =
  10. 10.Write 9¹³ ÷ 9⁹ as a single power 9ⁿ. What is n?
  11. 11.Write 8.5 × 10⁻³ as a decimal. =
  12. 12.6.1 × 10⁷ =
  13. 13.What is the value of 4⁻¹ (as a fraction)? =
  14. 14.What is the value of 10²? =
  15. 15.Write 4.8 × 10⁻¹ as a decimal. =
  16. 16.Write 6.9 × 10⁻³ as a decimal. =
  17. 17.Write 6⁷ × 6⁵ as a single power 6ⁿ. What is n?
  18. 18.Write (9²)⁹ as a single power 9ⁿ. What is n?
  19. 19.What is the value of 10⁵ × 10⁻⁵? =
  20. 20.What is the value of 2³? =
  21. 21.Write 6,000 in standard form as 6 × 10ⁿ. What is n?
  22. 22.What is the value of 5⁶ × 5⁻⁵? =
  23. 23.What is the value of 2² × 2⁻⁵? =
  24. 24.What is the value of 7⁴? =
  25. 25.What is the value of 5⁻⁴ (as a fraction)? =
  26. 26.What is the value of 10⁴? =
  27. 27.Write 7.3 × 10⁻³ as a decimal. =
  28. 28.What is the value of (5/7)⁻¹? =
  29. 29.What is the value of 3⁹? =
  30. 30.What is the value of 4⁴? =
  31. 31.Write 9.3 × 10⁻¹ as a decimal. =
  32. 32.Write 8.5 × 10⁻⁴ as a decimal. =
  33. 33.Write 64,00,000 in standard form as 6.4 × 10ⁿ. What is n?
  34. 34.What is the value of 10³? =
  35. 35.Write 2.6 × 10⁻² as a decimal. =
  36. 36.What is the value of (1/9)⁻¹? =
  37. 37.Write (6²)⁷ as a single power 6ⁿ. What is n?
  38. 38.2.7 × 10⁶ =
  39. 39.What is the value of 7²? =
  40. 40.Write 7³ × 7³ as a single power 7ⁿ. What is n?

Answer key

  1. 12
  2. 16807
  3. 1/9
  4. 7/3
  5. 0.00017
  6. 3200
  7. 21
  8. 13
  9. 0.49
  10. 4
  11. 0.0085
  12. 61000000
  13. 1/4
  14. 100
  15. 0.48
  16. 0.0069
  17. 12
  18. 18
  19. 1
  20. 8
  21. 3
  22. 5
  23. 1/8
  24. 2401
  25. 1/625
  26. 10000
  27. 0.0073
  28. 7/5
  29. 19683
  30. 256
  31. 0.93
  32. 0.00085
  33. 6
  34. 1000
  35. 0.026
  36. 9
  37. 14
  38. 2700000
  39. 49
  40. 6

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