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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 564 · 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 8.2 × 10⁻³ as a decimal. =
  2. 2.What is the value of 4⁻⁴ (as a fraction)? =
  3. 3.What is the value of 3⁻⁵ (as a fraction)? =
  4. 4.Write 1.6 × 10⁻⁴ as a decimal. =
  5. 5.Write 3.6 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 3¹ × 3⁻¹? =
  7. 7.What is the value of 5² × 5⁻⁵? =
  8. 8.What is the value of 7⁻¹ (as a fraction)? =
  9. 9.What is the value of 3⁻⁴ (as a fraction)? =
  10. 10.Write (2⁸)⁴ as a single power 2ⁿ. What is n?
  11. 11.Write 500 in standard form as 5 × 10ⁿ. What is n?
  12. 12.What is the value of 2¹⁴? =
  13. 13.What is the value of (1/3)⁻¹? =
  14. 14.What is the value of 6²? =
  15. 15.What is the value of 2¹ × 2⁻³? =
  16. 16.Write 8⁴ ÷ 8² as a single power 8ⁿ. What is n?
  17. 17.Write 5.5 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 2³ × 2⁻¹? =
  19. 19.What is the value of 2² × 2⁻⁵? =
  20. 20.What is the value of 8²? =
  21. 21.What is the value of (1/2)⁻²? =
  22. 22.8.8 × 10⁵ =
  23. 23.What is the value of 2³ × 2⁻³? =
  24. 24.What is the value of 5⁻⁴ (as a fraction)? =
  25. 25.5.2 × 10³ =
  26. 26.What is the value of 4⁷? =
  27. 27.What is the value of 2⁶ × 2⁻²? =
  28. 28.1.6 × 10⁷ =
  29. 29.What is the value of 10¹ × 10⁻²? =
  30. 30.Write 91,00,000 in standard form as 9.1 × 10ⁿ. What is n?
  31. 31.What is the value of (5/9)⁻¹? =
  32. 32.What is the value of 2⁴? =
  33. 33.Write 9¹⁰ ÷ 9⁴ as a single power 9ⁿ. What is n?
  34. 34.What is the value of 9⁵? =
  35. 35.What is the value of 8⁴? =
  36. 36.What is the value of 10⁴ × 10⁻⁶? =
  37. 37.What is the value of (3/5)⁻²? =
  38. 38.Write (3⁷)⁷ as a single power 3ⁿ. What is n?
  39. 39.Write 6.7 × 10⁻² as a decimal. =
  40. 40.3.2 × 10⁷ =

Answer key

  1. 0.0082
  2. 1/256
  3. 1/243
  4. 0.00016
  5. 0.36
  6. 1
  7. 1/125
  8. 1/7
  9. 1/81
  10. 32
  11. 2
  12. 16384
  13. 3
  14. 36
  15. 1/4
  16. 2
  17. 0.55
  18. 4
  19. 1/8
  20. 64
  21. 4
  22. 880000
  23. 1
  24. 1/625
  25. 5200
  26. 16384
  27. 16
  28. 16000000
  29. 1/10
  30. 6
  31. 9/5
  32. 16
  33. 6
  34. 59049
  35. 4096
  36. 1/100
  37. 25/9
  38. 49
  39. 0.067
  40. 32000000

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