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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 296 · 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 2.1 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of 4⁸? =
  3. 3.Write 5⁵ ÷ 5² as a single power 5ⁿ. What is n?
  4. 4.Write 3.8 × 10⁻⁴ as a decimal. =
  5. 5.What is the value of (1/8)⁻²? =
  6. 6.1.9 × 10⁴ =
  7. 7.Write 6.4 × 10⁻¹ as a decimal. =
  8. 8.Write 2.7 × 10⁻³ as a decimal. =
  9. 9.What is the value of 2⁴ × 2⁻⁴? =
  10. 10.Write 9⁹ ÷ 9⁶ as a single power 9ⁿ. What is n?
  11. 11.What is the value of 5⁶? =
  12. 12.Write (7⁶)² as a single power 7ⁿ. What is n?
  13. 13.What is the value of (1/3)⁻²? =
  14. 14.What is the value of 2⁵? =
  15. 15.What is the value of 7⁻² (as a fraction)? =
  16. 16.What is the value of 10⁵? =
  17. 17.What is the value of 4⁻² (as a fraction)? =
  18. 18.What is the value of 2⁴? =
  19. 19.Write 9.3 × 10⁻³ as a decimal. =
  20. 20.Write 4¹⁵ ÷ 4⁹ as a single power 4ⁿ. What is n?
  21. 21.9.9 × 10⁶ =
  22. 22.Write 360 in standard form as 3.6 × 10ⁿ. What is n?
  23. 23.Write 5⁶ × 5⁹ as a single power 5ⁿ. What is n?
  24. 24.What is the value of 5²? =
  25. 25.Write (8²)³ as a single power 8ⁿ. What is n?
  26. 26.What is the value of 5⁻¹ (as a fraction)? =
  27. 27.Write (3⁷)⁸ as a single power 3ⁿ. What is n?
  28. 28.6 × 10⁴ =
  29. 29.What is the value of 5³ × 5⁻¹? =
  30. 30.6.5 × 10³ =
  31. 31.What is the value of 8³? =
  32. 32.Write 3⁸ ÷ 3⁶ as a single power 3ⁿ. What is n?
  33. 33.Write 4.2 × 10⁻¹ as a decimal. =
  34. 34.What is the value of 2¹ × 2⁻⁵? =
  35. 35.What is the value of 5⁶ × 5⁻²? =
  36. 36.What is the value of 7⁴? =
  37. 37.Write 41,000 in standard form as 4.1 × 10ⁿ. What is n?
  38. 38.Write 6⁷ ÷ 6⁵ as a single power 6ⁿ. What is n?
  39. 39.Write 37,00,000 in standard form as 3.7 × 10ⁿ. What is n?
  40. 40.Write (5⁶)⁶ as a single power 5ⁿ. What is n?

Answer key

  1. 0.00021
  2. 65536
  3. 3
  4. 0.00038
  5. 64
  6. 19000
  7. 0.64
  8. 0.0027
  9. 1
  10. 3
  11. 15625
  12. 12
  13. 9
  14. 32
  15. 1/49
  16. 100000
  17. 1/16
  18. 16
  19. 0.0093
  20. 6
  21. 9900000
  22. 2
  23. 15
  24. 25
  25. 6
  26. 1/5
  27. 56
  28. 60000
  29. 25
  30. 6500
  31. 512
  32. 2
  33. 0.42
  34. 1/16
  35. 625
  36. 2401
  37. 4
  38. 2
  39. 6
  40. 36

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