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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 349 · 40 sums
TalentJR

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 320 in standard form as 3.2 × 10ⁿ. What is n?
  2. 2.Write 3¹² ÷ 3⁵ as a single power 3ⁿ. What is n?
  3. 3.Write 2⁹ × 2³ as a single power 2ⁿ. What is n?
  4. 4.What is the value of 10³ × 10⁻⁵? =
  5. 5.What is the value of 4²? =
  6. 6.Write (4⁵)⁸ as a single power 4ⁿ. What is n?
  7. 7.What is the value of 2¹¹? =
  8. 8.Write 4⁹ ÷ 4⁵ as a single power 4ⁿ. What is n?
  9. 9.What is the value of 8⁻³ (as a fraction)? =
  10. 10.What is the value of 5⁵? =
  11. 11.Write 3.4 × 10⁻⁴ as a decimal. =
  12. 12.What is the value of (5/7)⁻¹? =
  13. 13.Write 2.6 × 10⁻⁴ as a decimal. =
  14. 14.Write 7³ × 7² as a single power 7ⁿ. What is n?
  15. 15.What is the value of 2⁻⁴ (as a fraction)? =
  16. 16.Write 3² × 3² as a single power 3ⁿ. What is n?
  17. 17.What is the value of 3²? =
  18. 18.Write 9¹² ÷ 9⁸ as a single power 9ⁿ. What is n?
  19. 19.What is the value of 5⁻¹ (as a fraction)? =
  20. 20.Write 7¹⁶ ÷ 7⁹ as a single power 7ⁿ. What is n?
  21. 21.Write 5,700 in standard form as 5.7 × 10ⁿ. What is n?
  22. 22.1.7 × 10⁷ =
  23. 23.What is the value of 2¹⁰? =
  24. 24.What is the value of (1/3)⁻¹? =
  25. 25.Write 3⁶ × 3⁵ as a single power 3ⁿ. What is n?
  26. 26.Write 4,80,00,000 in standard form as 4.8 × 10ⁿ. What is n?
  27. 27.Write (3³)² as a single power 3ⁿ. What is n?
  28. 28.What is the value of (4/9)⁻¹? =
  29. 29.Write 5.5 × 10⁻³ as a decimal. =
  30. 30.What is the value of (1/8)⁻¹? =
  31. 31.Write 8.2 × 10⁻¹ as a decimal. =
  32. 32.Write 1,70,00,000 in standard form as 1.7 × 10ⁿ. What is n?
  33. 33.Write 7,600 in standard form as 7.6 × 10ⁿ. What is n?
  34. 34.What is the value of (3/8)⁻¹? =
  35. 35.What is the value of 3¹ × 3⁻³? =
  36. 36.What is the value of (6/7)⁻¹? =
  37. 37.Write 6¹² ÷ 6⁷ as a single power 6ⁿ. What is n?
  38. 38.What is the value of 2⁵? =
  39. 39.What is the value of (1/3)⁻²? =
  40. 40.What is the value of 2⁴ × 2⁻²? =

Answer key

  1. 2
  2. 7
  3. 12
  4. 1/100
  5. 16
  6. 40
  7. 2048
  8. 4
  9. 1/512
  10. 3125
  11. 0.00034
  12. 7/5
  13. 0.00026
  14. 5
  15. 1/16
  16. 4
  17. 9
  18. 4
  19. 1/5
  20. 7
  21. 3
  22. 17000000
  23. 1024
  24. 3
  25. 11
  26. 7
  27. 6
  28. 9/4
  29. 0.0055
  30. 8
  31. 0.82
  32. 7
  33. 3
  34. 8/3
  35. 1/9
  36. 7/6
  37. 5
  38. 32
  39. 9
  40. 4

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