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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 235 · 40 sums
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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 6⁴? =
  2. 2.What is the value of 2³ × 2⁻²? =
  3. 3.Write 6⁷ × 6⁹ as a single power 6ⁿ. What is n?
  4. 4.What is the value of 3⁴? =
  5. 5.What is the value of 5⁵? =
  6. 6.What is the value of 2¹²? =
  7. 7.Write 160 in standard form as 1.6 × 10ⁿ. What is n?
  8. 8.Write 2.5 × 10⁻³ as a decimal. =
  9. 9.What is the value of 2² × 2⁻¹? =
  10. 10.What is the value of 3⁵ × 3⁻⁴? =
  11. 11.Write 5⁹ × 5⁴ as a single power 5ⁿ. What is n?
  12. 12.Write 2¹⁰ ÷ 2² as a single power 2ⁿ. What is n?
  13. 13.Write 5,00,00,000 in standard form as 5 × 10ⁿ. What is n?
  14. 14.Write 3.5 × 10⁻¹ as a decimal. =
  15. 15.What is the value of 5⁵ × 5⁻¹? =
  16. 16.What is the value of 10²? =
  17. 17.Write 30,000 in standard form as 3 × 10ⁿ. What is n?
  18. 18.What is the value of (2/3)⁻¹? =
  19. 19.4.3 × 10⁵ =
  20. 20.Write 7,000 in standard form as 7 × 10ⁿ. What is n?
  21. 21.What is the value of 3⁵? =
  22. 22.What is the value of 3² × 3⁻¹? =
  23. 23.3.2 × 10² =
  24. 24.What is the value of 5⁵ × 5⁻⁴? =
  25. 25.What is the value of 10¹ × 10⁻²? =
  26. 26.Write 7.2 × 10⁻⁴ as a decimal. =
  27. 27.What is the value of 2⁴ × 2⁻⁶? =
  28. 28.What is the value of 4⁻⁴ (as a fraction)? =
  29. 29.Write 2³ × 2³ as a single power 2ⁿ. What is n?
  30. 30.What is the value of 2⁵ × 2⁻⁶? =
  31. 31.What is the value of 7⁴? =
  32. 32.Write 3⁹ × 3⁵ as a single power 3ⁿ. What is n?
  33. 33.What is the value of 6⁻¹ (as a fraction)? =
  34. 34.Write 1.8 × 10⁻² as a decimal. =
  35. 35.Write 5,80,00,000 in standard form as 5.8 × 10ⁿ. What is n?
  36. 36.Write 3⁸ × 3⁷ as a single power 3ⁿ. What is n?
  37. 37.What is the value of 2⁵ × 2⁻⁵? =
  38. 38.Write 8.7 × 10⁻¹ as a decimal. =
  39. 39.Write 7.9 × 10⁻² as a decimal. =
  40. 40.What is the value of 2² × 2⁻²? =

Answer key

  1. 1296
  2. 2
  3. 16
  4. 81
  5. 3125
  6. 4096
  7. 2
  8. 0.0025
  9. 2
  10. 3
  11. 13
  12. 8
  13. 7
  14. 0.35
  15. 625
  16. 100
  17. 4
  18. 3/2
  19. 430000
  20. 3
  21. 243
  22. 3
  23. 320
  24. 5
  25. 1/10
  26. 0.00072
  27. 1/4
  28. 1/256
  29. 6
  30. 1/2
  31. 2401
  32. 14
  33. 1/6
  34. 0.018
  35. 7
  36. 15
  37. 1
  38. 0.87
  39. 0.079
  40. 1

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