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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 623 · 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 18,000 in standard form as 1.8 × 10ⁿ. What is n?
  2. 2.What is the value of 5¹ × 5⁻⁴? =
  3. 3.Write 1.4 × 10⁻⁴ as a decimal. =
  4. 4.What is the value of 7⁴? =
  5. 5.Write 3¹⁸ ÷ 3⁹ as a single power 3ⁿ. What is n?
  6. 6.What is the value of 2³? =
  7. 7.Write 2⁹ × 2⁴ as a single power 2ⁿ. What is n?
  8. 8.Write 5,40,000 in standard form as 5.4 × 10ⁿ. What is n?
  9. 9.2.3 × 10² =
  10. 10.Write 9¹⁰ ÷ 9⁴ as a single power 9ⁿ. What is n?
  11. 11.Write 4⁶ × 4³ as a single power 4ⁿ. What is n?
  12. 12.Write 7⁴ ÷ 7² as a single power 7ⁿ. What is n?
  13. 13.Write 4,50,00,000 in standard form as 4.5 × 10ⁿ. What is n?
  14. 14.What is the value of 2⁵ × 2⁻⁵? =
  15. 15.What is the value of 10⁻² (as a fraction)? =
  16. 16.What is the value of 2⁶? =
  17. 17.What is the value of 5⁶? =
  18. 18.What is the value of 10⁵? =
  19. 19.What is the value of 2¹ × 2⁻⁵? =
  20. 20.What is the value of 3² × 3⁻²? =
  21. 21.Write 8² × 8⁵ as a single power 8ⁿ. What is n?
  22. 22.What is the value of 5³ × 5⁻²? =
  23. 23.Write 8 × 10⁻² as a decimal. =
  24. 24.Write 5⁷ × 5⁶ as a single power 5ⁿ. What is n?
  25. 25.What is the value of 3⁵ × 3⁻⁵? =
  26. 26.Write 7.9 × 10⁻³ as a decimal. =
  27. 27.8.5 × 10² =
  28. 28.Write 3 × 10⁻⁴ as a decimal. =
  29. 29.What is the value of (1/7)⁻¹? =
  30. 30.9 × 10⁶ =
  31. 31.Write 6,40,00,000 in standard form as 6.4 × 10ⁿ. What is n?
  32. 32.What is the value of 5⁷? =
  33. 33.What is the value of 2⁻⁹ (as a fraction)? =
  34. 34.What is the value of (1/3)⁻¹? =
  35. 35.What is the value of 5⁻⁴ (as a fraction)? =
  36. 36.What is the value of 2³ × 2⁻²? =
  37. 37.What is the value of 3⁴? =
  38. 38.What is the value of 5⁴? =
  39. 39.2.2 × 10² =
  40. 40.What is the value of 7⁵? =

Answer key

  1. 4
  2. 1/125
  3. 0.00014
  4. 2401
  5. 9
  6. 8
  7. 13
  8. 5
  9. 230
  10. 6
  11. 9
  12. 2
  13. 7
  14. 1
  15. 1/100
  16. 64
  17. 15625
  18. 100000
  19. 1/16
  20. 1
  21. 7
  22. 5
  23. 0.08
  24. 13
  25. 1
  26. 0.0079
  27. 850
  28. 0.0003
  29. 7
  30. 9000000
  31. 7
  32. 78125
  33. 1/512
  34. 3
  35. 1/625
  36. 2
  37. 81
  38. 625
  39. 220
  40. 16807

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