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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 279 · 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. 1.7.4 × 10⁵ =
  2. 2.9.6 × 10⁷ =
  3. 3.Write 6.3 × 10⁻⁴ as a decimal. =
  4. 4.7.9 × 10⁵ =
  5. 5.Write 3.9 × 10⁻⁴ as a decimal. =
  6. 6.Write 8¹¹ ÷ 8² as a single power 8ⁿ. What is n?
  7. 7.Write 6³ × 6⁷ as a single power 6ⁿ. What is n?
  8. 8.What is the value of 9²? =
  9. 9.Write 3⁹ × 3⁸ as a single power 3ⁿ. What is n?
  10. 10.Write 1.3 × 10⁻¹ as a decimal. =
  11. 11.Write 4.4 × 10⁻¹ as a decimal. =
  12. 12.What is the value of (5/7)⁻¹? =
  13. 13.Write 7² × 7⁹ as a single power 7ⁿ. What is n?
  14. 14.Write 64,00,000 in standard form as 6.4 × 10ⁿ. What is n?
  15. 15.What is the value of 10⁵? =
  16. 16.What is the value of 5¹ × 5⁻¹? =
  17. 17.Write 260 in standard form as 2.6 × 10ⁿ. What is n?
  18. 18.What is the value of 2² × 2⁻⁵? =
  19. 19.What is the value of 2⁻¹ (as a fraction)? =
  20. 20.Write 3² × 3⁷ as a single power 3ⁿ. What is n?
  21. 21.Write 3.8 × 10⁻² as a decimal. =
  22. 22.Write 2⁵ × 2² as a single power 2ⁿ. What is n?
  23. 23.What is the value of (4/5)⁻²? =
  24. 24.Write 36,00,000 in standard form as 3.6 × 10ⁿ. What is n?
  25. 25.What is the value of 8⁻¹ (as a fraction)? =
  26. 26.What is the value of 2⁸? =
  27. 27.2.4 × 10⁷ =
  28. 28.What is the value of 3⁶? =
  29. 29.Write 8,50,00,000 in standard form as 8.5 × 10ⁿ. What is n?
  30. 30.What is the value of 2⁵? =
  31. 31.Write 3.9 × 10⁻² as a decimal. =
  32. 32.What is the value of 10¹ × 10⁻⁶? =
  33. 33.What is the value of 5⁶? =
  34. 34.2.8 × 10⁶ =
  35. 35.What is the value of 4³? =
  36. 36.Write (5⁹)⁸ as a single power 5ⁿ. What is n?
  37. 37.1.1 × 10⁵ =
  38. 38.What is the value of 3⁵? =
  39. 39.What is the value of 10¹ × 10⁻¹? =
  40. 40.What is the value of 2⁻⁷ (as a fraction)? =

Answer key

  1. 740000
  2. 96000000
  3. 0.00063
  4. 790000
  5. 0.00039
  6. 9
  7. 10
  8. 81
  9. 17
  10. 0.13
  11. 0.44
  12. 7/5
  13. 11
  14. 6
  15. 100000
  16. 1
  17. 2
  18. 1/8
  19. 1/2
  20. 9
  21. 0.038
  22. 7
  23. 25/16
  24. 6
  25. 1/8
  26. 256
  27. 24000000
  28. 729
  29. 7
  30. 32
  31. 0.039
  32. 1/100000
  33. 15625
  34. 2800000
  35. 64
  36. 72
  37. 110000
  38. 243
  39. 1
  40. 1/128

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