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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 238 · 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.Write 2⁵ × 2³ as a single power 2ⁿ. What is n?
  2. 2.Write 7⁷ × 7⁹ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 2⁶? =
  4. 4.What is the value of 5¹ × 5⁻⁶? =
  5. 5.Write 1.4 × 10⁻¹ as a decimal. =
  6. 6.Write 6⁸ ÷ 6⁴ as a single power 6ⁿ. What is n?
  7. 7.Write 6¹¹ ÷ 6³ as a single power 6ⁿ. What is n?
  8. 8.What is the value of 3¹ × 3⁻²? =
  9. 9.What is the value of (1/9)⁻²? =
  10. 10.Write 7 × 10⁻³ as a decimal. =
  11. 11.Write 3.1 × 10⁻¹ as a decimal. =
  12. 12.What is the value of 7³? =
  13. 13.What is the value of 9²? =
  14. 14.What is the value of 5⁵? =
  15. 15.Write 3.7 × 10⁻² as a decimal. =
  16. 16.What is the value of 3² × 3⁻⁶? =
  17. 17.What is the value of (1/2)⁻¹? =
  18. 18.Write 5⁴ × 5⁹ as a single power 5ⁿ. What is n?
  19. 19.Write 4² × 4⁷ as a single power 4ⁿ. What is n?
  20. 20.Write 3¹³ ÷ 3⁴ as a single power 3ⁿ. What is n?
  21. 21.Write 2⁹ × 2⁵ as a single power 2ⁿ. What is n?
  22. 22.4 × 10³ =
  23. 23.What is the value of 2¹¹? =
  24. 24.What is the value of 10⁴ × 10⁻³? =
  25. 25.Write 3,50,000 in standard form as 3.5 × 10ⁿ. What is n?
  26. 26.Write (4²)⁴ as a single power 4ⁿ. What is n?
  27. 27.What is the value of 5⁴? =
  28. 28.What is the value of 10³ × 10⁻³? =
  29. 29.1.3 × 10⁷ =
  30. 30.Write (4³)³ as a single power 4ⁿ. What is n?
  31. 31.Write 5,30,00,000 in standard form as 5.3 × 10ⁿ. What is n?
  32. 32.Write (5⁴)⁵ as a single power 5ⁿ. What is n?
  33. 33.Write 6.8 × 10⁻⁴ as a decimal. =
  34. 34.What is the value of 5⁴ × 5⁻⁵? =
  35. 35.Write (3⁷)⁴ as a single power 3ⁿ. What is n?
  36. 36.Write 83,00,000 in standard form as 8.3 × 10ⁿ. What is n?
  37. 37.Write 4¹⁴ ÷ 4⁸ as a single power 4ⁿ. What is n?
  38. 38.What is the value of (3/4)⁻²? =
  39. 39.1.6 × 10⁷ =
  40. 40.2.8 × 10² =

Answer key

  1. 8
  2. 16
  3. 64
  4. 1/3125
  5. 0.14
  6. 4
  7. 8
  8. 1/3
  9. 81
  10. 0.007
  11. 0.31
  12. 343
  13. 81
  14. 3125
  15. 0.037
  16. 1/81
  17. 2
  18. 13
  19. 9
  20. 9
  21. 14
  22. 4000
  23. 2048
  24. 10
  25. 5
  26. 8
  27. 625
  28. 1
  29. 13000000
  30. 9
  31. 7
  32. 20
  33. 0.00068
  34. 1/5
  35. 28
  36. 6
  37. 6
  38. 16/9
  39. 16000000
  40. 280

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