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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 180 · 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 3⁻⁶ (as a fraction)? =
  2. 2.7.3 × 10² =
  3. 3.9.1 × 10² =
  4. 4.What is the value of (4/9)⁻¹? =
  5. 5.What is the value of 2⁴? =
  6. 6.Write 1.8 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 5⁶ × 5⁻⁶? =
  8. 8.2.3 × 10⁵ =
  9. 9.What is the value of 8²? =
  10. 10.Write 5⁸ ÷ 5⁴ as a single power 5ⁿ. What is n?
  11. 11.Write 71,00,000 in standard form as 7.1 × 10ⁿ. What is n?
  12. 12.Write 2,80,00,000 in standard form as 2.8 × 10ⁿ. What is n?
  13. 13.3.4 × 10⁴ =
  14. 14.What is the value of 5¹ × 5⁻⁶? =
  15. 15.Write 9.5 × 10⁻² as a decimal. =
  16. 16.4.5 × 10⁵ =
  17. 17.Write 2⁷ × 2² as a single power 2ⁿ. What is n?
  18. 18.What is the value of 2¹ × 2⁻⁴? =
  19. 19.What is the value of (4/5)⁻²? =
  20. 20.5.2 × 10² =
  21. 21.What is the value of 5¹ × 5⁻²? =
  22. 22.What is the value of 3⁻¹ (as a fraction)? =
  23. 23.What is the value of 10² × 10⁻⁵? =
  24. 24.Write 3 × 10⁻² as a decimal. =
  25. 25.What is the value of 3⁴? =
  26. 26.Write 5³ × 5⁴ as a single power 5ⁿ. What is n?
  27. 27.What is the value of 4⁵? =
  28. 28.What is the value of 3¹⁰? =
  29. 29.Write 2⁷ ÷ 2⁴ as a single power 2ⁿ. What is n?
  30. 30.Write 4,70,00,000 in standard form as 4.7 × 10ⁿ. What is n?
  31. 31.What is the value of 3¹ × 3⁻¹? =
  32. 32.Write 1.3 × 10⁻⁴ as a decimal. =
  33. 33.What is the value of 2¹³? =
  34. 34.8.3 × 10⁵ =
  35. 35.Write 66,00,000 in standard form as 6.6 × 10ⁿ. What is n?
  36. 36.What is the value of 5⁴ × 5⁻³? =
  37. 37.Write 3⁹ ÷ 3⁶ as a single power 3ⁿ. What is n?
  38. 38.Write 4 × 10⁻³ as a decimal. =
  39. 39.Write 410 in standard form as 4.1 × 10ⁿ. What is n?
  40. 40.What is the value of 2² × 2⁻⁶? =

Answer key

  1. 1/729
  2. 730
  3. 910
  4. 9/4
  5. 16
  6. 0.18
  7. 1
  8. 230000
  9. 64
  10. 4
  11. 6
  12. 7
  13. 34000
  14. 1/3125
  15. 0.095
  16. 450000
  17. 9
  18. 1/8
  19. 25/16
  20. 520
  21. 1/5
  22. 1/3
  23. 1/1000
  24. 0.03
  25. 81
  26. 7
  27. 1024
  28. 59049
  29. 3
  30. 7
  31. 1
  32. 0.00013
  33. 8192
  34. 830000
  35. 6
  36. 5
  37. 3
  38. 0.004
  39. 2
  40. 1/16

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