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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 207 · 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 2.1 × 10⁻¹ as a decimal. =
  2. 2.1.9 × 10³ =
  3. 3.Write 4⁵ × 4³ as a single power 4ⁿ. What is n?
  4. 4.Write 5¹⁰ ÷ 5⁷ as a single power 5ⁿ. What is n?
  5. 5.What is the value of 6⁵? =
  6. 6.Write 4.6 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 3¹⁰? =
  8. 8.Write 6.4 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 2⁵ × 2⁻⁴? =
  10. 10.What is the value of 4³? =
  11. 11.What is the value of 5³? =
  12. 12.Write 2.3 × 10⁻⁴ as a decimal. =
  13. 13.9.8 × 10² =
  14. 14.Write 9.8 × 10⁻² as a decimal. =
  15. 15.9.3 × 10⁶ =
  16. 16.Write 7⁷ × 7² as a single power 7ⁿ. What is n?
  17. 17.9.4 × 10⁶ =
  18. 18.Write 7⁶ × 7⁹ as a single power 7ⁿ. What is n?
  19. 19.What is the value of (4/7)⁻¹? =
  20. 20.Write 720 in standard form as 7.2 × 10ⁿ. What is n?
  21. 21.Write (6⁶)⁷ as a single power 6ⁿ. What is n?
  22. 22.What is the value of 5²? =
  23. 23.Write 4⁹ ÷ 4⁴ as a single power 4ⁿ. What is n?
  24. 24.Write (6⁹)⁵ as a single power 6ⁿ. What is n?
  25. 25.2.1 × 10⁶ =
  26. 26.Write 3⁵ × 3⁵ as a single power 3ⁿ. What is n?
  27. 27.Write 84,00,000 in standard form as 8.4 × 10ⁿ. What is n?
  28. 28.Write 7⁷ × 7⁵ as a single power 7ⁿ. What is n?
  29. 29.What is the value of 3⁻⁴ (as a fraction)? =
  30. 30.Write 4⁶ × 4³ as a single power 4ⁿ. What is n?
  31. 31.Write 1.6 × 10⁻³ as a decimal. =
  32. 32.What is the value of 3⁶ × 3⁻⁵? =
  33. 33.1.5 × 10⁷ =
  34. 34.Write (5⁵)⁸ as a single power 5ⁿ. What is n?
  35. 35.Write 4,400 in standard form as 4.4 × 10ⁿ. What is n?
  36. 36.What is the value of 4⁻³ (as a fraction)? =
  37. 37.What is the value of 10³ × 10⁻⁶? =
  38. 38.Write 2¹² ÷ 2⁴ as a single power 2ⁿ. What is n?
  39. 39.What is the value of 8⁵? =
  40. 40.Write (5⁷)⁷ as a single power 5ⁿ. What is n?

Answer key

  1. 0.21
  2. 1900
  3. 8
  4. 3
  5. 7776
  6. 0.46
  7. 59049
  8. 0.64
  9. 2
  10. 64
  11. 125
  12. 0.00023
  13. 980
  14. 0.098
  15. 9300000
  16. 9
  17. 9400000
  18. 15
  19. 7/4
  20. 2
  21. 42
  22. 25
  23. 5
  24. 45
  25. 2100000
  26. 10
  27. 6
  28. 12
  29. 1/81
  30. 9
  31. 0.0016
  32. 3
  33. 15000000
  34. 40
  35. 3
  36. 1/64
  37. 1/1000
  38. 8
  39. 32768
  40. 49

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