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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 791 · 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. 1.1.4 × 10⁵ =
  2. 2.Write 5⁵ × 5⁹ as a single power 5ⁿ. What is n?
  3. 3.What is the value of 4⁻⁴ (as a fraction)? =
  4. 4.What is the value of 6⁶? =
  5. 5.Write 5,900 in standard form as 5.9 × 10ⁿ. What is n?
  6. 6.Write 7⁶ × 7⁵ as a single power 7ⁿ. What is n?
  7. 7.Write 4,90,000 in standard form as 4.9 × 10ⁿ. What is n?
  8. 8.Write 2 × 10⁻¹ as a decimal. =
  9. 9.Write 8¹¹ ÷ 8⁵ as a single power 8ⁿ. What is n?
  10. 10.Write 6,80,000 in standard form as 6.8 × 10ⁿ. What is n?
  11. 11.Write 8⁵ × 8³ as a single power 8ⁿ. What is n?
  12. 12.Write 7⁷ × 7⁵ as a single power 7ⁿ. What is n?
  13. 13.Write 7¹² ÷ 7⁸ as a single power 7ⁿ. What is n?
  14. 14.Write (2²)² as a single power 2ⁿ. What is n?
  15. 15.Write 7.1 × 10⁻³ as a decimal. =
  16. 16.What is the value of (5/6)⁻¹? =
  17. 17.What is the value of 10² × 10⁻¹? =
  18. 18.Write 5.3 × 10⁻⁴ as a decimal. =
  19. 19.What is the value of (4/9)⁻¹? =
  20. 20.8.9 × 10² =
  21. 21.What is the value of 9⁻³ (as a fraction)? =
  22. 22.What is the value of 4³? =
  23. 23.Write (4⁸)⁴ as a single power 4ⁿ. What is n?
  24. 24.Write 7⁴ × 7⁶ as a single power 7ⁿ. What is n?
  25. 25.What is the value of 3² × 3⁻⁶? =
  26. 26.What is the value of (2/7)⁻¹? =
  27. 27.Write 8.7 × 10⁻⁴ as a decimal. =
  28. 28.1.4 × 10³ =
  29. 29.What is the value of 9⁴? =
  30. 30.4.3 × 10² =
  31. 31.What is the value of 9⁻¹ (as a fraction)? =
  32. 32.What is the value of (1/8)⁻¹? =
  33. 33.What is the value of 6⁴? =
  34. 34.What is the value of 5⁶ × 5⁻⁴? =
  35. 35.Write 5.6 × 10⁻¹ as a decimal. =
  36. 36.Write 5.2 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 2⁷? =
  38. 38.8.1 × 10⁴ =
  39. 39.Write 4¹³ ÷ 4⁹ as a single power 4ⁿ. What is n?
  40. 40.Write (7⁴)⁹ as a single power 7ⁿ. What is n?

Answer key

  1. 140000
  2. 14
  3. 1/256
  4. 46656
  5. 3
  6. 11
  7. 5
  8. 0.2
  9. 6
  10. 5
  11. 8
  12. 12
  13. 4
  14. 4
  15. 0.0071
  16. 6/5
  17. 10
  18. 0.00053
  19. 9/4
  20. 890
  21. 1/729
  22. 64
  23. 32
  24. 10
  25. 1/81
  26. 7/2
  27. 0.00087
  28. 1400
  29. 6561
  30. 430
  31. 1/9
  32. 8
  33. 1296
  34. 25
  35. 0.56
  36. 0.00052
  37. 128
  38. 81000
  39. 4
  40. 36

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