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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 313 · 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 10⁻¹ (as a fraction)? =
  2. 2.5.4 × 10³ =
  3. 3.What is the value of 2³ × 2⁻²? =
  4. 4.Write (7⁸)² as a single power 7ⁿ. What is n?
  5. 5.What is the value of 5³ × 5⁻⁵? =
  6. 6.What is the value of 5⁵ × 5⁻³? =
  7. 7.7.8 × 10⁶ =
  8. 8.Write 5.8 × 10⁻³ as a decimal. =
  9. 9.Write 1.5 × 10⁻¹ as a decimal. =
  10. 10.What is the value of (1/6)⁻²? =
  11. 11.Write 1.2 × 10⁻² as a decimal. =
  12. 12.Write 4⁸ × 4⁷ as a single power 4ⁿ. What is n?
  13. 13.Write 9⁶ × 9⁵ as a single power 9ⁿ. What is n?
  14. 14.Write 2.8 × 10⁻⁴ as a decimal. =
  15. 15.Write 6.7 × 10⁻¹ as a decimal. =
  16. 16.Write 2.2 × 10⁻² as a decimal. =
  17. 17.5.7 × 10⁶ =
  18. 18.Write (3²)⁶ as a single power 3ⁿ. What is n?
  19. 19.What is the value of (1/2)⁻¹? =
  20. 20.Write (9³)⁹ as a single power 9ⁿ. What is n?
  21. 21.What is the value of 9⁻² (as a fraction)? =
  22. 22.What is the value of 2⁻⁸ (as a fraction)? =
  23. 23.Write 7,60,00,000 in standard form as 7.6 × 10ⁿ. What is n?
  24. 24.8.8 × 10² =
  25. 25.Write 8.2 × 10⁻² as a decimal. =
  26. 26.Write (5³)⁷ as a single power 5ⁿ. What is n?
  27. 27.What is the value of 3⁻⁴ (as a fraction)? =
  28. 28.Write 3⁸ ÷ 3⁵ as a single power 3ⁿ. What is n?
  29. 29.What is the value of 3⁴ × 3⁻³? =
  30. 30.What is the value of 8⁻² (as a fraction)? =
  31. 31.6.9 × 10⁷ =
  32. 32.Write (9²)⁸ as a single power 9ⁿ. What is n?
  33. 33.Write 4¹⁰ ÷ 4² as a single power 4ⁿ. What is n?
  34. 34.What is the value of (8/9)⁻²? =
  35. 35.Write 12,00,000 in standard form as 1.2 × 10ⁿ. What is n?
  36. 36.What is the value of (2/5)⁻¹? =
  37. 37.What is the value of 2⁴ × 2⁻⁶? =
  38. 38.What is the value of 3⁴? =
  39. 39.What is the value of 2² × 2⁻³? =
  40. 40.What is the value of 5⁵? =

Answer key

  1. 1/10
  2. 5400
  3. 2
  4. 16
  5. 1/25
  6. 25
  7. 7800000
  8. 0.0058
  9. 0.15
  10. 36
  11. 0.012
  12. 15
  13. 11
  14. 0.00028
  15. 0.67
  16. 0.022
  17. 5700000
  18. 12
  19. 2
  20. 27
  21. 1/81
  22. 1/256
  23. 7
  24. 880
  25. 0.082
  26. 21
  27. 1/81
  28. 3
  29. 3
  30. 1/64
  31. 69000000
  32. 16
  33. 8
  34. 81/64
  35. 6
  36. 5/2
  37. 1/4
  38. 81
  39. 1/2
  40. 3125

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