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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 952 · 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 2⁻¹ (as a fraction)? =
  2. 2.Write 3.6 × 10⁻³ as a decimal. =
  3. 3.Write 8⁹ ÷ 8⁷ as a single power 8ⁿ. What is n?
  4. 4.Write 68,000 in standard form as 6.8 × 10ⁿ. What is n?
  5. 5.7.7 × 10² =
  6. 6.3.1 × 10⁶ =
  7. 7.Write 12,00,000 in standard form as 1.2 × 10ⁿ. What is n?
  8. 8.What is the value of 2⁴ × 2⁻²? =
  9. 9.Write (4⁸)⁹ as a single power 4ⁿ. What is n?
  10. 10.Write 8.9 × 10⁻³ as a decimal. =
  11. 11.Write 67,000 in standard form as 6.7 × 10ⁿ. What is n?
  12. 12.Write (5⁵)⁹ as a single power 5ⁿ. What is n?
  13. 13.Write 4.6 × 10⁻⁴ as a decimal. =
  14. 14.Write 2¹⁰ ÷ 2⁶ as a single power 2ⁿ. What is n?
  15. 15.1.1 × 10³ =
  16. 16.What is the value of 6⁻³ (as a fraction)? =
  17. 17.What is the value of 5⁶ × 5⁻⁶? =
  18. 18.Write 1.1 × 10⁻¹ as a decimal. =
  19. 19.What is the value of 5⁻¹ (as a fraction)? =
  20. 20.Write 7⁷ × 7² as a single power 7ⁿ. What is n?
  21. 21.What is the value of (3/5)⁻¹? =
  22. 22.What is the value of 6⁻² (as a fraction)? =
  23. 23.What is the value of 2⁶? =
  24. 24.Write 6,90,00,000 in standard form as 6.9 × 10ⁿ. What is n?
  25. 25.Write 23,000 in standard form as 2.3 × 10ⁿ. What is n?
  26. 26.What is the value of 2¹⁶? =
  27. 27.What is the value of 5⁶? =
  28. 28.What is the value of 3⁵? =
  29. 29.What is the value of (7/9)⁻¹? =
  30. 30.Write 4,500 in standard form as 4.5 × 10ⁿ. What is n?
  31. 31.What is the value of 10¹ × 10⁻³? =
  32. 32.Write 3¹² ÷ 3⁸ as a single power 3ⁿ. What is n?
  33. 33.What is the value of 5² × 5⁻²? =
  34. 34.What is the value of 3⁴ × 3⁻¹? =
  35. 35.Write (2⁶)⁶ as a single power 2ⁿ. What is n?
  36. 36.What is the value of 10⁶ × 10⁻²? =
  37. 37.What is the value of 7⁵? =
  38. 38.Write 2.6 × 10⁻⁴ as a decimal. =
  39. 39.Write 8³ × 8² as a single power 8ⁿ. What is n?
  40. 40.What is the value of 2³ × 2⁻³? =

Answer key

  1. 1/2
  2. 0.0036
  3. 2
  4. 4
  5. 770
  6. 3100000
  7. 6
  8. 4
  9. 72
  10. 0.0089
  11. 4
  12. 45
  13. 0.00046
  14. 4
  15. 1100
  16. 1/216
  17. 1
  18. 0.11
  19. 1/5
  20. 9
  21. 5/3
  22. 1/36
  23. 64
  24. 7
  25. 4
  26. 65536
  27. 15625
  28. 243
  29. 9/7
  30. 3
  31. 1/100
  32. 4
  33. 1
  34. 27
  35. 36
  36. 10000
  37. 16807
  38. 0.00026
  39. 5
  40. 1

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