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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 536 · 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 (8⁴)⁴ as a single power 8ⁿ. What is n?
  2. 2.What is the value of 3⁵ × 3⁻⁶? =
  3. 3.7.7 × 10⁷ =
  4. 4.8.9 × 10³ =
  5. 5.Write 3⁷ × 3⁸ as a single power 3ⁿ. What is n?
  6. 6.Write 22,00,000 in standard form as 2.2 × 10ⁿ. What is n?
  7. 7.What is the value of 3¹ × 3⁻²? =
  8. 8.What is the value of 2⁵? =
  9. 9.Write 4³ × 4⁸ as a single power 4ⁿ. What is n?
  10. 10.What is the value of 3⁵? =
  11. 11.What is the value of 3⁴ × 3⁻⁵? =
  12. 12.Write 3.2 × 10⁻³ as a decimal. =
  13. 13.Write 4⁹ ÷ 4² as a single power 4ⁿ. What is n?
  14. 14.Write 42,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  15. 15.Write 6,00,00,000 in standard form as 6 × 10ⁿ. What is n?
  16. 16.1.9 × 10⁴ =
  17. 17.Write 6³ × 6² as a single power 6ⁿ. What is n?
  18. 18.Write 8.7 × 10⁻⁴ as a decimal. =
  19. 19.What is the value of 2⁻⁷ (as a fraction)? =
  20. 20.Write 2,60,000 in standard form as 2.6 × 10ⁿ. What is n?
  21. 21.What is the value of 6⁴? =
  22. 22.Write 4.5 × 10⁻¹ as a decimal. =
  23. 23.Write 6⁷ × 6³ as a single power 6ⁿ. What is n?
  24. 24.Write 8,900 in standard form as 8.9 × 10ⁿ. What is n?
  25. 25.Write 6¹⁰ ÷ 6³ as a single power 6ⁿ. What is n?
  26. 26.What is the value of (1/6)⁻¹? =
  27. 27.9.7 × 10⁵ =
  28. 28.Write 2.3 × 10⁻³ as a decimal. =
  29. 29.What is the value of 8⁴? =
  30. 30.Write 5.8 × 10⁻³ as a decimal. =
  31. 31.What is the value of 5⁷? =
  32. 32.Write 9.8 × 10⁻⁴ as a decimal. =
  33. 33.Write (6⁷)⁷ as a single power 6ⁿ. What is n?
  34. 34.What is the value of 3²? =
  35. 35.Write 8.8 × 10⁻² as a decimal. =
  36. 36.What is the value of 6⁻¹ (as a fraction)? =
  37. 37.What is the value of 7³? =
  38. 38.What is the value of 7⁵? =
  39. 39.Write 99,00,000 in standard form as 9.9 × 10ⁿ. What is n?
  40. 40.Write 8.6 × 10⁻² as a decimal. =

Answer key

  1. 16
  2. 1/3
  3. 77000000
  4. 8900
  5. 15
  6. 6
  7. 1/3
  8. 32
  9. 11
  10. 243
  11. 1/3
  12. 0.0032
  13. 7
  14. 6
  15. 7
  16. 19000
  17. 5
  18. 0.00087
  19. 1/128
  20. 5
  21. 1296
  22. 0.45
  23. 10
  24. 3
  25. 7
  26. 6
  27. 970000
  28. 0.0023
  29. 4096
  30. 0.0058
  31. 78125
  32. 0.00098
  33. 49
  34. 9
  35. 0.088
  36. 1/6
  37. 343
  38. 16807
  39. 6
  40. 0.086

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