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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 236 · 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.What is the value of 5⁴? =
  2. 2.What is the value of 6⁴? =
  3. 3.Write 4.4 × 10⁻¹ as a decimal. =
  4. 4.Write 9.5 × 10⁻² as a decimal. =
  5. 5.What is the value of 6⁵? =
  6. 6.Write (9²)³ as a single power 9ⁿ. What is n?
  7. 7.What is the value of 8⁵? =
  8. 8.Write 710 in standard form as 7.1 × 10ⁿ. What is n?
  9. 9.5.3 × 10² =
  10. 10.What is the value of 2⁹? =
  11. 11.Write 8,20,00,000 in standard form as 8.2 × 10ⁿ. What is n?
  12. 12.What is the value of 2⁵? =
  13. 13.9.8 × 10² =
  14. 14.3.6 × 10³ =
  15. 15.Write 1.8 × 10⁻² as a decimal. =
  16. 16.Write 5⁹ × 5⁶ as a single power 5ⁿ. What is n?
  17. 17.What is the value of 3⁷? =
  18. 18.What is the value of 5⁴ × 5⁻⁴? =
  19. 19.Write 7,90,00,000 in standard form as 7.9 × 10ⁿ. What is n?
  20. 20.What is the value of 2¹ × 2⁻¹? =
  21. 21.Write (3⁴)⁴ as a single power 3ⁿ. What is n?
  22. 22.What is the value of 10⁴ × 10⁻¹? =
  23. 23.What is the value of 5⁶ × 5⁻⁴? =
  24. 24.Write 4.7 × 10⁻³ as a decimal. =
  25. 25.Write 7.8 × 10⁻¹ as a decimal. =
  26. 26.Write 9¹³ ÷ 9⁵ as a single power 9ⁿ. What is n?
  27. 27.What is the value of 3⁵ × 3⁻¹? =
  28. 28.What is the value of (4/5)⁻¹? =
  29. 29.3.4 × 10⁶ =
  30. 30.What is the value of 2² × 2⁻⁶? =
  31. 31.What is the value of (3/4)⁻¹? =
  32. 32.What is the value of 2⁴? =
  33. 33.What is the value of 7⁵? =
  34. 34.What is the value of 10⁵ × 10⁻⁶? =
  35. 35.Write (9³)⁹ as a single power 9ⁿ. What is n?
  36. 36.What is the value of 5⁵ × 5⁻³? =
  37. 37.Write 6.9 × 10⁻³ as a decimal. =
  38. 38.Write 5² × 5² as a single power 5ⁿ. What is n?
  39. 39.Write 4.4 × 10⁻² as a decimal. =
  40. 40.What is the value of 10⁵? =

Answer key

  1. 625
  2. 1296
  3. 0.44
  4. 0.095
  5. 7776
  6. 6
  7. 32768
  8. 2
  9. 530
  10. 512
  11. 7
  12. 32
  13. 980
  14. 3600
  15. 0.018
  16. 15
  17. 2187
  18. 1
  19. 7
  20. 1
  21. 16
  22. 1000
  23. 25
  24. 0.0047
  25. 0.78
  26. 8
  27. 81
  28. 5/4
  29. 3400000
  30. 1/16
  31. 4/3
  32. 16
  33. 16807
  34. 1/10
  35. 27
  36. 25
  37. 0.0069
  38. 4
  39. 0.044
  40. 100000

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