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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 396 · 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 2.9 × 10⁻¹ as a decimal. =
  2. 2.What is the value of (5/8)⁻²? =
  3. 3.What is the value of 5⁻⁴ (as a fraction)? =
  4. 4.3.9 × 10⁵ =
  5. 5.Write 8.8 × 10⁻³ as a decimal. =
  6. 6.Write (5²)⁸ as a single power 5ⁿ. What is n?
  7. 7.What is the value of 2⁴ × 2⁻¹? =
  8. 8.What is the value of (3/8)⁻²? =
  9. 9.8.2 × 10⁴ =
  10. 10.8.9 × 10² =
  11. 11.What is the value of 10⁵ × 10⁻¹? =
  12. 12.What is the value of 4⁵? =
  13. 13.Write (2²)⁴ as a single power 2ⁿ. What is n?
  14. 14.What is the value of 2³? =
  15. 15.What is the value of 5⁷? =
  16. 16.Write 4⁹ × 4³ as a single power 4ⁿ. What is n?
  17. 17.3 × 10³ =
  18. 18.What is the value of 2⁴ × 2⁻⁵? =
  19. 19.Write 3¹⁵ ÷ 3⁷ as a single power 3ⁿ. What is n?
  20. 20.What is the value of 3⁵ × 3⁻³? =
  21. 21.Write (9³)⁴ as a single power 9ⁿ. What is n?
  22. 22.What is the value of 10³? =
  23. 23.Write 9⁴ × 9⁸ as a single power 9ⁿ. What is n?
  24. 24.What is the value of 5¹ × 5⁻⁶? =
  25. 25.Write 5.8 × 10⁻³ as a decimal. =
  26. 26.What is the value of 5³? =
  27. 27.What is the value of 8²? =
  28. 28.What is the value of 10⁴ × 10⁻⁶? =
  29. 29.Write 7.9 × 10⁻² as a decimal. =
  30. 30.What is the value of 5⁻¹ (as a fraction)? =
  31. 31.Write 6¹² ÷ 6⁹ as a single power 6ⁿ. What is n?
  32. 32.Write 1.7 × 10⁻³ as a decimal. =
  33. 33.Write 3.6 × 10⁻¹ as a decimal. =
  34. 34.Write 9,700 in standard form as 9.7 × 10ⁿ. What is n?
  35. 35.Write 7.7 × 10⁻³ as a decimal. =
  36. 36.1.1 × 10⁶ =
  37. 37.6.5 × 10² =
  38. 38.What is the value of 8⁴? =
  39. 39.Write 3¹³ ÷ 3⁷ as a single power 3ⁿ. What is n?
  40. 40.What is the value of 4⁸? =

Answer key

  1. 0.29
  2. 64/25
  3. 1/625
  4. 390000
  5. 0.0088
  6. 16
  7. 8
  8. 64/9
  9. 82000
  10. 890
  11. 10000
  12. 1024
  13. 8
  14. 8
  15. 78125
  16. 12
  17. 3000
  18. 1/2
  19. 8
  20. 9
  21. 12
  22. 1000
  23. 12
  24. 1/3125
  25. 0.0058
  26. 125
  27. 64
  28. 1/100
  29. 0.079
  30. 1/5
  31. 3
  32. 0.0017
  33. 0.36
  34. 3
  35. 0.0077
  36. 1100000
  37. 650
  38. 4096
  39. 6
  40. 65536

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