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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 985 · 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 (4/9)⁻²? =
  2. 2.What is the value of 5⁴ × 5⁻¹? =
  3. 3.What is the value of (4/9)⁻¹? =
  4. 4.Write (3⁴)⁷ as a single power 3ⁿ. What is n?
  5. 5.What is the value of 3⁻² (as a fraction)? =
  6. 6.7.7 × 10⁴ =
  7. 7.Write 5.2 × 10⁻⁴ as a decimal. =
  8. 8.What is the value of (2/5)⁻¹? =
  9. 9.Write 4⁹ ÷ 4⁴ as a single power 4ⁿ. What is n?
  10. 10.Write 2.2 × 10⁻¹ as a decimal. =
  11. 11.Write (2⁵)⁸ as a single power 2ⁿ. What is n?
  12. 12.7.9 × 10³ =
  13. 13.Write 9⁶ × 9⁴ as a single power 9ⁿ. What is n?
  14. 14.Write 3,000 in standard form as 3 × 10ⁿ. What is n?
  15. 15.What is the value of 2¹²? =
  16. 16.Write 2.1 × 10⁻⁴ as a decimal. =
  17. 17.1.2 × 10² =
  18. 18.What is the value of 10³? =
  19. 19.What is the value of (8/9)⁻²? =
  20. 20.Write 9.4 × 10⁻⁴ as a decimal. =
  21. 21.6.7 × 10² =
  22. 22.What is the value of (3/8)⁻¹? =
  23. 23.9.4 × 10⁷ =
  24. 24.What is the value of 10⁻¹ (as a fraction)? =
  25. 25.What is the value of 3⁸? =
  26. 26.6.9 × 10² =
  27. 27.Write 3.5 × 10⁻⁴ as a decimal. =
  28. 28.What is the value of 2⁻² (as a fraction)? =
  29. 29.Write 70,00,000 in standard form as 7 × 10ⁿ. What is n?
  30. 30.Write 1.8 × 10⁻² as a decimal. =
  31. 31.Write (2³)⁹ as a single power 2ⁿ. What is n?
  32. 32.Write (7⁹)⁵ as a single power 7ⁿ. What is n?
  33. 33.Write 69,000 in standard form as 6.9 × 10ⁿ. What is n?
  34. 34.7.4 × 10³ =
  35. 35.8.8 × 10⁷ =
  36. 36.What is the value of 2¹⁶? =
  37. 37.Write 48,00,000 in standard form as 4.8 × 10ⁿ. What is n?
  38. 38.What is the value of 6³? =
  39. 39.Write 4.7 × 10⁻² as a decimal. =
  40. 40.Write 7.3 × 10⁻⁴ as a decimal. =

Answer key

  1. 81/16
  2. 125
  3. 9/4
  4. 28
  5. 1/9
  6. 77000
  7. 0.00052
  8. 5/2
  9. 5
  10. 0.22
  11. 40
  12. 7900
  13. 10
  14. 3
  15. 4096
  16. 0.00021
  17. 120
  18. 1000
  19. 81/64
  20. 0.00094
  21. 670
  22. 8/3
  23. 94000000
  24. 1/10
  25. 6561
  26. 690
  27. 0.00035
  28. 1/4
  29. 6
  30. 0.018
  31. 27
  32. 45
  33. 4
  34. 7400
  35. 88000000
  36. 65536
  37. 6
  38. 216
  39. 0.047
  40. 0.00073

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