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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 601 · 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 9.9 × 10⁻⁴ as a decimal. =
  2. 2.Write 2⁷ ÷ 2⁴ as a single power 2ⁿ. What is n?
  3. 3.Write 7⁴ × 7⁴ as a single power 7ⁿ. What is n?
  4. 4.What is the value of 10⁵? =
  5. 5.Write 2.9 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 5¹ × 5⁻⁴? =
  7. 7.What is the value of 9²? =
  8. 8.Write 4.5 × 10⁻⁴ as a decimal. =
  9. 9.Write 5.2 × 10⁻⁴ as a decimal. =
  10. 10.Write 4³ × 4⁵ as a single power 4ⁿ. What is n?
  11. 11.What is the value of 3⁻² (as a fraction)? =
  12. 12.Write (3²)⁵ as a single power 3ⁿ. What is n?
  13. 13.Write 5 × 10⁻¹ as a decimal. =
  14. 14.Write 5.9 × 10⁻² as a decimal. =
  15. 15.6.2 × 10³ =
  16. 16.What is the value of 2¹ × 2⁻⁶? =
  17. 17.What is the value of (4/7)⁻¹? =
  18. 18.Write 7.1 × 10⁻³ as a decimal. =
  19. 19.What is the value of 2⁶? =
  20. 20.Write (3⁹)³ as a single power 3ⁿ. What is n?
  21. 21.6 × 10³ =
  22. 22.Write 8.2 × 10⁻² as a decimal. =
  23. 23.What is the value of 2² × 2⁻⁴? =
  24. 24.What is the value of 8⁵? =
  25. 25.Write 79,00,000 in standard form as 7.9 × 10ⁿ. What is n?
  26. 26.Write 8.5 × 10⁻¹ as a decimal. =
  27. 27.Write 3 × 10⁻² as a decimal. =
  28. 28.What is the value of 5³ × 5⁻⁴? =
  29. 29.What is the value of (4/5)⁻¹? =
  30. 30.7.5 × 10⁷ =
  31. 31.9.4 × 10² =
  32. 32.What is the value of (2/7)⁻²? =
  33. 33.What is the value of 5³? =
  34. 34.Write 2⁷ × 2⁷ as a single power 2ⁿ. What is n?
  35. 35.Write 8 × 10⁻² as a decimal. =
  36. 36.What is the value of 5³ × 5⁻⁶? =
  37. 37.What is the value of 5⁻² (as a fraction)? =
  38. 38.Write 6¹⁰ ÷ 6⁷ as a single power 6ⁿ. What is n?
  39. 39.What is the value of 2⁶ × 2⁻⁴? =
  40. 40.8.7 × 10⁴ =

Answer key

  1. 0.00099
  2. 3
  3. 8
  4. 100000
  5. 0.00029
  6. 1/125
  7. 81
  8. 0.00045
  9. 0.00052
  10. 8
  11. 1/9
  12. 10
  13. 0.5
  14. 0.059
  15. 6200
  16. 1/32
  17. 7/4
  18. 0.0071
  19. 64
  20. 27
  21. 6000
  22. 0.082
  23. 1/4
  24. 32768
  25. 6
  26. 0.85
  27. 0.03
  28. 1/5
  29. 5/4
  30. 75000000
  31. 940
  32. 49/4
  33. 125
  34. 14
  35. 0.08
  36. 1/125
  37. 1/25
  38. 3
  39. 4
  40. 87000

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