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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 322 · 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. 1.2.3 × 10² =
  2. 2.What is the value of (7/8)⁻¹? =
  3. 3.What is the value of (6/7)⁻²? =
  4. 4.Write 9,80,00,000 in standard form as 9.8 × 10ⁿ. What is n?
  5. 5.What is the value of 10⁶ × 10⁻²? =
  6. 6.Write 2⁵ × 2³ as a single power 2ⁿ. What is n?
  7. 7.6.1 × 10⁶ =
  8. 8.4.5 × 10⁶ =
  9. 9.Write 7.8 × 10⁻⁴ as a decimal. =
  10. 10.Write 3⁴ × 3⁸ as a single power 3ⁿ. What is n?
  11. 11.Write 4.5 × 10⁻³ as a decimal. =
  12. 12.What is the value of 2⁷? =
  13. 13.What is the value of 2⁶ × 2⁻¹? =
  14. 14.What is the value of 2⁻³ (as a fraction)? =
  15. 15.Write 370 in standard form as 3.7 × 10ⁿ. What is n?
  16. 16.What is the value of 2⁻¹ (as a fraction)? =
  17. 17.What is the value of 2⁻⁴ (as a fraction)? =
  18. 18.What is the value of (1/2)⁻¹? =
  19. 19.Write 7⁶ ÷ 7⁴ as a single power 7ⁿ. What is n?
  20. 20.What is the value of 6³? =
  21. 21.Write (6⁹)⁵ as a single power 6ⁿ. What is n?
  22. 22.Write 2.2 × 10⁻⁴ as a decimal. =
  23. 23.Write 4⁹ × 4⁵ as a single power 4ⁿ. What is n?
  24. 24.Write 2.3 × 10⁻¹ as a decimal. =
  25. 25.Write 7 × 10⁻¹ as a decimal. =
  26. 26.Write 320 in standard form as 3.2 × 10ⁿ. What is n?
  27. 27.Write 15,00,000 in standard form as 1.5 × 10ⁿ. What is n?
  28. 28.3.7 × 10³ =
  29. 29.What is the value of (4/9)⁻¹? =
  30. 30.Write 6.5 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of 3⁴ × 3⁻¹? =
  32. 32.What is the value of 2¹⁶? =
  33. 33.Write 62,000 in standard form as 6.2 × 10ⁿ. What is n?
  34. 34.Write 4² × 4² as a single power 4ⁿ. What is n?
  35. 35.Write 58,000 in standard form as 5.8 × 10ⁿ. What is n?
  36. 36.Write 5⁶ ÷ 5⁴ as a single power 5ⁿ. What is n?
  37. 37.What is the value of (3/4)⁻²? =
  38. 38.What is the value of (1/4)⁻²? =
  39. 39.Write 1,10,00,000 in standard form as 1.1 × 10ⁿ. What is n?
  40. 40.Write 4.2 × 10⁻¹ as a decimal. =

Answer key

  1. 230
  2. 8/7
  3. 49/36
  4. 7
  5. 10000
  6. 8
  7. 6100000
  8. 4500000
  9. 0.00078
  10. 12
  11. 0.0045
  12. 128
  13. 32
  14. 1/8
  15. 2
  16. 1/2
  17. 1/16
  18. 2
  19. 2
  20. 216
  21. 45
  22. 0.00022
  23. 14
  24. 0.23
  25. 0.7
  26. 2
  27. 6
  28. 3700
  29. 9/4
  30. 0.00065
  31. 27
  32. 65536
  33. 4
  34. 4
  35. 4
  36. 2
  37. 16/9
  38. 16
  39. 7
  40. 0.42

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