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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 500 · 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 10⁴ × 10⁻¹? =
  2. 2.What is the value of 3²? =
  3. 3.Write 5.5 × 10⁻² as a decimal. =
  4. 4.Write 16,00,000 in standard form as 1.6 × 10ⁿ. What is n?
  5. 5.Write 8.4 × 10⁻¹ as a decimal. =
  6. 6.6.2 × 10⁵ =
  7. 7.What is the value of 3⁵? =
  8. 8.What is the value of 9⁴? =
  9. 9.Write 6.3 × 10⁻¹ as a decimal. =
  10. 10.What is the value of 7⁻¹ (as a fraction)? =
  11. 11.What is the value of (1/7)⁻²? =
  12. 12.Write 8.6 × 10⁻³ as a decimal. =
  13. 13.What is the value of 10⁵ × 10⁻⁶? =
  14. 14.What is the value of 3⁻¹ (as a fraction)? =
  15. 15.Write 97,000 in standard form as 9.7 × 10ⁿ. What is n?
  16. 16.Write 1.7 × 10⁻¹ as a decimal. =
  17. 17.Write 300 in standard form as 3 × 10ⁿ. What is n?
  18. 18.Write 9.9 × 10⁻¹ as a decimal. =
  19. 19.What is the value of (5/6)⁻¹? =
  20. 20.Write 3.9 × 10⁻¹ as a decimal. =
  21. 21.What is the value of 7²? =
  22. 22.What is the value of 8⁴? =
  23. 23.What is the value of 2² × 2⁻²? =
  24. 24.Write 17,00,000 in standard form as 1.7 × 10ⁿ. What is n?
  25. 25.Write 3.3 × 10⁻¹ as a decimal. =
  26. 26.What is the value of (1/3)⁻²? =
  27. 27.Write 1.8 × 10⁻³ as a decimal. =
  28. 28.What is the value of 2¹⁰? =
  29. 29.What is the value of 3⁵ × 3⁻³? =
  30. 30.What is the value of 9³? =
  31. 31.Write 6.3 × 10⁻⁴ as a decimal. =
  32. 32.What is the value of 5¹ × 5⁻³? =
  33. 33.Write (3⁶)⁴ as a single power 3ⁿ. What is n?
  34. 34.What is the value of 3⁵ × 3⁻²? =
  35. 35.4.7 × 10⁷ =
  36. 36.What is the value of 5⁵ × 5⁻²? =
  37. 37.5 × 10⁵ =
  38. 38.Write 1.8 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 3⁸? =
  40. 40.What is the value of 5⁷? =

Answer key

  1. 1000
  2. 9
  3. 0.055
  4. 6
  5. 0.84
  6. 620000
  7. 243
  8. 6561
  9. 0.63
  10. 1/7
  11. 49
  12. 0.0086
  13. 1/10
  14. 1/3
  15. 4
  16. 0.17
  17. 2
  18. 0.99
  19. 6/5
  20. 0.39
  21. 49
  22. 4096
  23. 1
  24. 6
  25. 0.33
  26. 9
  27. 0.0018
  28. 1024
  29. 9
  30. 729
  31. 0.00063
  32. 1/25
  33. 24
  34. 27
  35. 47000000
  36. 125
  37. 500000
  38. 0.18
  39. 6561
  40. 78125

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