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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 652 · 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 (6/7)⁻²? =
  2. 2.What is the value of 2⁻⁷ (as a fraction)? =
  3. 3.What is the value of (1/6)⁻²? =
  4. 4.Write 4,200 in standard form as 4.2 × 10ⁿ. What is n?
  5. 5.What is the value of 2¹⁶? =
  6. 6.What is the value of 9⁵? =
  7. 7.What is the value of 4⁻¹ (as a fraction)? =
  8. 8.What is the value of 3⁻¹ (as a fraction)? =
  9. 9.Write (5²)⁷ as a single power 5ⁿ. What is n?
  10. 10.Write 4¹⁴ ÷ 4⁸ as a single power 4ⁿ. What is n?
  11. 11.Write 6⁸ × 6⁸ as a single power 6ⁿ. What is n?
  12. 12.What is the value of 2⁵ × 2⁻³? =
  13. 13.What is the value of 10² × 10⁻²? =
  14. 14.What is the value of 3⁴ × 3⁻²? =
  15. 15.Write 12,00,000 in standard form as 1.2 × 10ⁿ. What is n?
  16. 16.What is the value of 10⁻¹ (as a fraction)? =
  17. 17.Write 1.7 × 10⁻⁴ as a decimal. =
  18. 18.Write (9²)³ as a single power 9ⁿ. What is n?
  19. 19.What is the value of 6⁴? =
  20. 20.Write 490 in standard form as 4.9 × 10ⁿ. What is n?
  21. 21.Write 2⁷ × 2⁴ as a single power 2ⁿ. What is n?
  22. 22.What is the value of 5⁵ × 5⁻⁶? =
  23. 23.What is the value of 2⁵ × 2⁻¹? =
  24. 24.9 × 10⁵ =
  25. 25.7.6 × 10⁶ =
  26. 26.What is the value of 2⁵? =
  27. 27.What is the value of 5³? =
  28. 28.Write 5⁹ ÷ 5² as a single power 5ⁿ. What is n?
  29. 29.What is the value of 7⁴? =
  30. 30.Write 6⁸ ÷ 6³ as a single power 6ⁿ. What is n?
  31. 31.What is the value of (5/6)⁻¹? =
  32. 32.What is the value of (1/5)⁻²? =
  33. 33.What is the value of 2³ × 2⁻¹? =
  34. 34.8.3 × 10⁶ =
  35. 35.What is the value of 5⁶ × 5⁻¹? =
  36. 36.Write 3.7 × 10⁻² as a decimal. =
  37. 37.Write 8⁹ ÷ 8² as a single power 8ⁿ. What is n?
  38. 38.8.2 × 10³ =
  39. 39.Write 3⁹ ÷ 3⁷ as a single power 3ⁿ. What is n?
  40. 40.Write 5³ × 5⁶ as a single power 5ⁿ. What is n?

Answer key

  1. 49/36
  2. 1/128
  3. 36
  4. 3
  5. 65536
  6. 59049
  7. 1/4
  8. 1/3
  9. 14
  10. 6
  11. 16
  12. 4
  13. 1
  14. 9
  15. 6
  16. 1/10
  17. 0.00017
  18. 6
  19. 1296
  20. 2
  21. 11
  22. 1/5
  23. 16
  24. 900000
  25. 7600000
  26. 32
  27. 125
  28. 7
  29. 2401
  30. 5
  31. 6/5
  32. 25
  33. 4
  34. 8300000
  35. 3125
  36. 0.037
  37. 7
  38. 8200
  39. 2
  40. 9

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