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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 578 · 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 5,00,00,000 in standard form as 5 × 10ⁿ. What is n?
  2. 2.Write 7.6 × 10⁻³ as a decimal. =
  3. 3.Write 1,80,00,000 in standard form as 1.8 × 10ⁿ. What is n?
  4. 4.Write 7¹⁷ ÷ 7⁹ as a single power 7ⁿ. What is n?
  5. 5.Write 4¹³ ÷ 4⁸ as a single power 4ⁿ. What is n?
  6. 6.What is the value of 2⁷? =
  7. 7.Write 8 × 10⁻⁴ as a decimal. =
  8. 8.Write 2³ × 2⁹ as a single power 2ⁿ. What is n?
  9. 9.What is the value of 7⁻³ (as a fraction)? =
  10. 10.What is the value of 3⁶ × 3⁻⁵? =
  11. 11.Write 5,50,00,000 in standard form as 5.5 × 10ⁿ. What is n?
  12. 12.Write 4³ × 4⁴ as a single power 4ⁿ. What is n?
  13. 13.What is the value of 10⁻¹ (as a fraction)? =
  14. 14.Write 4⁷ ÷ 4⁵ as a single power 4ⁿ. What is n?
  15. 15.What is the value of 2³? =
  16. 16.Write 5.6 × 10⁻³ as a decimal. =
  17. 17.2.1 × 10² =
  18. 18.What is the value of 3⁸? =
  19. 19.What is the value of (4/5)⁻¹? =
  20. 20.Write 7⁹ ÷ 7⁶ as a single power 7ⁿ. What is n?
  21. 21.What is the value of 5³ × 5⁻³? =
  22. 22.What is the value of 3³? =
  23. 23.What is the value of 8⁵? =
  24. 24.What is the value of 4⁸? =
  25. 25.7.7 × 10⁵ =
  26. 26.What is the value of 7⁻² (as a fraction)? =
  27. 27.What is the value of 2²? =
  28. 28.What is the value of 2⁶ × 2⁻¹? =
  29. 29.Write 6.2 × 10⁻³ as a decimal. =
  30. 30.Write 2⁵ × 2⁹ as a single power 2ⁿ. What is n?
  31. 31.5.9 × 10⁶ =
  32. 32.What is the value of 10¹ × 10⁻⁵? =
  33. 33.3.1 × 10⁵ =
  34. 34.Write 3.7 × 10⁻¹ as a decimal. =
  35. 35.What is the value of 6³? =
  36. 36.4.5 × 10³ =
  37. 37.What is the value of 3¹ × 3⁻⁵? =
  38. 38.Write 3⁸ × 3⁴ as a single power 3ⁿ. What is n?
  39. 39.What is the value of 3⁶ × 3⁻²? =
  40. 40.What is the value of 6⁻¹ (as a fraction)? =

Answer key

  1. 7
  2. 0.0076
  3. 7
  4. 8
  5. 5
  6. 128
  7. 0.0008
  8. 12
  9. 1/343
  10. 3
  11. 7
  12. 7
  13. 1/10
  14. 2
  15. 8
  16. 0.0056
  17. 210
  18. 6561
  19. 5/4
  20. 3
  21. 1
  22. 27
  23. 32768
  24. 65536
  25. 770000
  26. 1/49
  27. 4
  28. 32
  29. 0.0062
  30. 14
  31. 5900000
  32. 1/10000
  33. 310000
  34. 0.37
  35. 216
  36. 4500
  37. 1/81
  38. 12
  39. 81
  40. 1/6

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