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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 63 · 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 9⁵? =
  2. 2.What is the value of 2¹³? =
  3. 3.Write (2⁴)² as a single power 2ⁿ. What is n?
  4. 4.What is the value of 5³ × 5⁻⁴? =
  5. 5.8.1 × 10³ =
  6. 6.Write (6⁷)⁸ as a single power 6ⁿ. What is n?
  7. 7.What is the value of 3⁵ × 3⁻⁴? =
  8. 8.What is the value of (5/9)⁻²? =
  9. 9.Write 7.8 × 10⁻³ as a decimal. =
  10. 10.What is the value of 2⁴ × 2⁻³? =
  11. 11.Write 4.6 × 10⁻² as a decimal. =
  12. 12.Write 5⁹ × 5⁴ as a single power 5ⁿ. What is n?
  13. 13.Write (9⁵)⁸ as a single power 9ⁿ. What is n?
  14. 14.Write (7⁹)³ as a single power 7ⁿ. What is n?
  15. 15.Write 2⁹ ÷ 2⁵ as a single power 2ⁿ. What is n?
  16. 16.What is the value of 2²? =
  17. 17.What is the value of (2/9)⁻¹? =
  18. 18.What is the value of 6²? =
  19. 19.5.3 × 10⁶ =
  20. 20.What is the value of 7⁴? =
  21. 21.What is the value of 2² × 2⁻³? =
  22. 22.What is the value of 5⁶ × 5⁻¹? =
  23. 23.Write (2²)² as a single power 2ⁿ. What is n?
  24. 24.Write 2¹² ÷ 2⁷ as a single power 2ⁿ. What is n?
  25. 25.What is the value of 9⁻³ (as a fraction)? =
  26. 26.Write 3³ × 3⁸ as a single power 3ⁿ. What is n?
  27. 27.What is the value of 5¹ × 5⁻⁴? =
  28. 28.What is the value of 5⁵ × 5⁻⁵? =
  29. 29.What is the value of 2⁵ × 2⁻¹? =
  30. 30.Write 9³ × 9³ as a single power 9ⁿ. What is n?
  31. 31.Write 3⁴ × 3³ as a single power 3ⁿ. What is n?
  32. 32.What is the value of 3⁶? =
  33. 33.Write 4.5 × 10⁻⁴ as a decimal. =
  34. 34.Write 3⁸ ÷ 3² as a single power 3ⁿ. What is n?
  35. 35.Write 47,000 in standard form as 4.7 × 10ⁿ. What is n?
  36. 36.What is the value of 2³ × 2⁻⁶? =
  37. 37.What is the value of 2⁻³ (as a fraction)? =
  38. 38.Write (7⁸)² as a single power 7ⁿ. What is n?
  39. 39.5.6 × 10³ =
  40. 40.What is the value of 4⁻¹ (as a fraction)? =

Answer key

  1. 59049
  2. 8192
  3. 8
  4. 1/5
  5. 8100
  6. 56
  7. 3
  8. 81/25
  9. 0.0078
  10. 2
  11. 0.046
  12. 13
  13. 40
  14. 27
  15. 4
  16. 4
  17. 9/2
  18. 36
  19. 5300000
  20. 2401
  21. 1/2
  22. 3125
  23. 4
  24. 5
  25. 1/729
  26. 11
  27. 1/125
  28. 1
  29. 16
  30. 6
  31. 7
  32. 729
  33. 0.00045
  34. 6
  35. 4
  36. 1/8
  37. 1/8
  38. 16
  39. 5600
  40. 1/4

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