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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 498 · 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 2⁻⁸ (as a fraction)? =
  2. 2.What is the value of 2³ × 2⁻³? =
  3. 3.Write 7.6 × 10⁻¹ as a decimal. =
  4. 4.Write 5¹⁴ ÷ 5⁶ as a single power 5ⁿ. What is n?
  5. 5.What is the value of 5⁴ × 5⁻²? =
  6. 6.5.2 × 10⁷ =
  7. 7.Write 3.3 × 10⁻² as a decimal. =
  8. 8.What is the value of 2⁻⁷ (as a fraction)? =
  9. 9.What is the value of 2⁻⁴ (as a fraction)? =
  10. 10.What is the value of 9⁵? =
  11. 11.Write 770 in standard form as 7.7 × 10ⁿ. What is n?
  12. 12.Write 550 in standard form as 5.5 × 10ⁿ. What is n?
  13. 13.Write 2⁷ ÷ 2⁴ as a single power 2ⁿ. What is n?
  14. 14.What is the value of 3⁴? =
  15. 15.Write (9⁴)⁸ as a single power 9ⁿ. What is n?
  16. 16.What is the value of 10³ × 10⁻¹? =
  17. 17.What is the value of 5²? =
  18. 18.What is the value of 4⁶? =
  19. 19.What is the value of 3⁻² (as a fraction)? =
  20. 20.1.9 × 10⁷ =
  21. 21.What is the value of 8⁴? =
  22. 22.What is the value of 2¹ × 2⁻¹? =
  23. 23.Write 8.2 × 10⁻² as a decimal. =
  24. 24.What is the value of 5⁵ × 5⁻⁶? =
  25. 25.Write 4,10,000 in standard form as 4.1 × 10ⁿ. What is n?
  26. 26.What is the value of 4⁷? =
  27. 27.What is the value of 2¹¹? =
  28. 28.7.1 × 10³ =
  29. 29.Write 59,00,000 in standard form as 5.9 × 10ⁿ. What is n?
  30. 30.9.1 × 10⁷ =
  31. 31.What is the value of 2⁻² (as a fraction)? =
  32. 32.Write (7⁵)³ as a single power 7ⁿ. What is n?
  33. 33.What is the value of 2¹ × 2⁻⁶? =
  34. 34.Write 4⁶ × 4⁶ as a single power 4ⁿ. What is n?
  35. 35.What is the value of (1/5)⁻²? =
  36. 36.What is the value of 2²? =
  37. 37.6.7 × 10³ =
  38. 38.Write 9.3 × 10⁻¹ as a decimal. =
  39. 39.Write 3⁴ × 3² as a single power 3ⁿ. What is n?
  40. 40.Write 5.3 × 10⁻² as a decimal. =

Answer key

  1. 1/256
  2. 1
  3. 0.76
  4. 8
  5. 25
  6. 52000000
  7. 0.033
  8. 1/128
  9. 1/16
  10. 59049
  11. 2
  12. 2
  13. 3
  14. 81
  15. 32
  16. 100
  17. 25
  18. 4096
  19. 1/9
  20. 19000000
  21. 4096
  22. 1
  23. 0.082
  24. 1/5
  25. 5
  26. 16384
  27. 2048
  28. 7100
  29. 6
  30. 91000000
  31. 1/4
  32. 15
  33. 1/32
  34. 12
  35. 25
  36. 4
  37. 6700
  38. 0.93
  39. 6
  40. 0.053

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