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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 36 · 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 4.2 × 10⁻¹ as a decimal. =
  2. 2.Write 8⁴ × 8⁵ as a single power 8ⁿ. What is n?
  3. 3.Write (4²)⁸ as a single power 4ⁿ. What is n?
  4. 4.What is the value of 3⁻³ (as a fraction)? =
  5. 5.What is the value of 2⁴ × 2⁻⁴? =
  6. 6.What is the value of 2¹ × 2⁻¹? =
  7. 7.5.7 × 10⁷ =
  8. 8.What is the value of 2⁻¹ (as a fraction)? =
  9. 9.What is the value of 3¹ × 3⁻⁶? =
  10. 10.What is the value of 2³? =
  11. 11.What is the value of 5¹ × 5⁻³? =
  12. 12.What is the value of 2¹²? =
  13. 13.What is the value of 5⁻³ (as a fraction)? =
  14. 14.Write 8.3 × 10⁻⁴ as a decimal. =
  15. 15.What is the value of (2/7)⁻¹? =
  16. 16.What is the value of 5⁶? =
  17. 17.What is the value of 9⁵? =
  18. 18.Write (3⁵)⁹ as a single power 3ⁿ. What is n?
  19. 19.Write 5¹³ ÷ 5⁸ as a single power 5ⁿ. What is n?
  20. 20.What is the value of 2⁻³ (as a fraction)? =
  21. 21.Write 3.6 × 10⁻¹ as a decimal. =
  22. 22.What is the value of 3⁵ × 3⁻⁴? =
  23. 23.What is the value of (1/3)⁻¹? =
  24. 24.What is the value of 10⁵? =
  25. 25.What is the value of 4⁷? =
  26. 26.3.4 × 10⁷ =
  27. 27.What is the value of (4/9)⁻¹? =
  28. 28.What is the value of 2¹⁵? =
  29. 29.What is the value of 3⁵ × 3⁻⁶? =
  30. 30.What is the value of 5⁵? =
  31. 31.What is the value of (4/7)⁻²? =
  32. 32.2.4 × 10⁵ =
  33. 33.What is the value of 3⁻⁶ (as a fraction)? =
  34. 34.What is the value of 4³? =
  35. 35.Write 4.9 × 10⁻¹ as a decimal. =
  36. 36.Write 9.3 × 10⁻² as a decimal. =
  37. 37.What is the value of 3⁴? =
  38. 38.Write 6.8 × 10⁻⁴ as a decimal. =
  39. 39.6.4 × 10⁵ =
  40. 40.Write (2⁴)² as a single power 2ⁿ. What is n?

Answer key

  1. 0.42
  2. 9
  3. 16
  4. 1/27
  5. 1
  6. 1
  7. 57000000
  8. 1/2
  9. 1/243
  10. 8
  11. 1/25
  12. 4096
  13. 1/125
  14. 0.00083
  15. 7/2
  16. 15625
  17. 59049
  18. 45
  19. 5
  20. 1/8
  21. 0.36
  22. 3
  23. 3
  24. 100000
  25. 16384
  26. 34000000
  27. 9/4
  28. 32768
  29. 1/3
  30. 3125
  31. 49/16
  32. 240000
  33. 1/729
  34. 64
  35. 0.49
  36. 0.093
  37. 81
  38. 0.00068
  39. 640000
  40. 8

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