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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 496 · 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 (8⁸)⁵ as a single power 8ⁿ. What is n?
  2. 2.What is the value of 2¹⁰? =
  3. 3.Write 260 in standard form as 2.6 × 10ⁿ. What is n?
  4. 4.Write (5³)⁸ as a single power 5ⁿ. What is n?
  5. 5.Write 8.1 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 5³ × 5⁻⁵? =
  7. 7.1.4 × 10³ =
  8. 8.What is the value of 2³? =
  9. 9.Write 7.1 × 10⁻³ as a decimal. =
  10. 10.Write 310 in standard form as 3.1 × 10ⁿ. What is n?
  11. 11.Write 93,000 in standard form as 9.3 × 10ⁿ. What is n?
  12. 12.What is the value of 6⁴? =
  13. 13.What is the value of 9⁻³ (as a fraction)? =
  14. 14.What is the value of 9²? =
  15. 15.Write 1,900 in standard form as 1.9 × 10ⁿ. What is n?
  16. 16.What is the value of 7⁴? =
  17. 17.Write 3⁹ ÷ 3⁶ as a single power 3ⁿ. What is n?
  18. 18.Write (5²)³ as a single power 5ⁿ. What is n?
  19. 19.What is the value of 6⁶? =
  20. 20.Write 3.1 × 10⁻⁴ as a decimal. =
  21. 21.7.3 × 10⁷ =
  22. 22.4.7 × 10⁵ =
  23. 23.Write 6,10,000 in standard form as 6.1 × 10ⁿ. What is n?
  24. 24.What is the value of 5⁶ × 5⁻⁴? =
  25. 25.Write 5⁹ × 5³ as a single power 5ⁿ. What is n?
  26. 26.7.1 × 10³ =
  27. 27.What is the value of 3² × 3⁻¹? =
  28. 28.What is the value of 3⁴ × 3⁻²? =
  29. 29.What is the value of 2⁵? =
  30. 30.What is the value of 2⁶ × 2⁻²? =
  31. 31.Write 4.2 × 10⁻¹ as a decimal. =
  32. 32.3.4 × 10² =
  33. 33.What is the value of 5¹ × 5⁻⁴? =
  34. 34.Write 8.6 × 10⁻³ as a decimal. =
  35. 35.Write 78,000 in standard form as 7.8 × 10ⁿ. What is n?
  36. 36.What is the value of 2⁶? =
  37. 37.What is the value of 8²? =
  38. 38.Write 2,40,00,000 in standard form as 2.4 × 10ⁿ. What is n?
  39. 39.What is the value of 3³? =
  40. 40.Write 270 in standard form as 2.7 × 10ⁿ. What is n?

Answer key

  1. 40
  2. 1024
  3. 2
  4. 24
  5. 0.00081
  6. 1/25
  7. 1400
  8. 8
  9. 0.0071
  10. 2
  11. 4
  12. 1296
  13. 1/729
  14. 81
  15. 3
  16. 2401
  17. 3
  18. 6
  19. 46656
  20. 0.00031
  21. 73000000
  22. 470000
  23. 5
  24. 25
  25. 12
  26. 7100
  27. 3
  28. 9
  29. 32
  30. 16
  31. 0.42
  32. 340
  33. 1/125
  34. 0.0086
  35. 4
  36. 64
  37. 64
  38. 7
  39. 27
  40. 2

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