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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 869 · 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 8.2 × 10⁻³ as a decimal. =
  2. 2.What is the value of 10¹ × 10⁻⁵? =
  3. 3.What is the value of 10¹ × 10⁻⁶? =
  4. 4.What is the value of 5⁶ × 5⁻²? =
  5. 5.What is the value of 10⁵? =
  6. 6.What is the value of 2⁴ × 2⁻⁴? =
  7. 7.Write 65,00,000 in standard form as 6.5 × 10ⁿ. What is n?
  8. 8.Write 7⁷ ÷ 7⁵ as a single power 7ⁿ. What is n?
  9. 9.What is the value of (1/9)⁻¹? =
  10. 10.3.9 × 10⁶ =
  11. 11.What is the value of 3⁻³ (as a fraction)? =
  12. 12.Write 5⁷ ÷ 5² as a single power 5ⁿ. What is n?
  13. 13.Write 3.1 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 5⁵? =
  15. 15.Write 8⁷ ÷ 8⁴ as a single power 8ⁿ. What is n?
  16. 16.What is the value of 3⁵ × 3⁻⁴? =
  17. 17.Write 3³ × 3⁴ as a single power 3ⁿ. What is n?
  18. 18.Write (9⁶)⁹ as a single power 9ⁿ. What is n?
  19. 19.What is the value of 4⁵? =
  20. 20.What is the value of 10³ × 10⁻³? =
  21. 21.What is the value of 3⁶? =
  22. 22.7.2 × 10⁷ =
  23. 23.What is the value of 10¹ × 10⁻²? =
  24. 24.2.5 × 10³ =
  25. 25.Write 4.2 × 10⁻³ as a decimal. =
  26. 26.Write 83,00,000 in standard form as 8.3 × 10ⁿ. What is n?
  27. 27.What is the value of 10⁴? =
  28. 28.Write 9⁶ × 9² as a single power 9ⁿ. What is n?
  29. 29.Write 2.1 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 3³ × 3⁻⁴? =
  31. 31.What is the value of 2² × 2⁻²? =
  32. 32.What is the value of 3⁻² (as a fraction)? =
  33. 33.What is the value of 9²? =
  34. 34.What is the value of 7⁴? =
  35. 35.4.8 × 10² =
  36. 36.What is the value of 2³ × 2⁻⁶? =
  37. 37.What is the value of 5⁵ × 5⁻⁶? =
  38. 38.What is the value of 2⁶ × 2⁻³? =
  39. 39.What is the value of 8²? =
  40. 40.Write 4¹¹ ÷ 4² as a single power 4ⁿ. What is n?

Answer key

  1. 0.0082
  2. 1/10000
  3. 1/100000
  4. 625
  5. 100000
  6. 1
  7. 6
  8. 2
  9. 9
  10. 3900000
  11. 1/27
  12. 5
  13. 0.31
  14. 3125
  15. 3
  16. 3
  17. 7
  18. 54
  19. 1024
  20. 1
  21. 729
  22. 72000000
  23. 1/10
  24. 2500
  25. 0.0042
  26. 6
  27. 10000
  28. 8
  29. 0.21
  30. 1/3
  31. 1
  32. 1/9
  33. 81
  34. 2401
  35. 480
  36. 1/8
  37. 1/5
  38. 8
  39. 64
  40. 9

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