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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 788 · 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.What is the value of 5⁻³ (as a fraction)? =
  2. 2.What is the value of 3⁴? =
  3. 3.Write 3⁸ ÷ 3² as a single power 3ⁿ. What is n?
  4. 4.What is the value of (4/5)⁻²? =
  5. 5.What is the value of 5² × 5⁻¹? =
  6. 6.What is the value of (7/9)⁻¹? =
  7. 7.Write 1.8 × 10⁻³ as a decimal. =
  8. 8.Write 9¹¹ ÷ 9⁸ as a single power 9ⁿ. What is n?
  9. 9.What is the value of 5² × 5⁻³? =
  10. 10.What is the value of 2¹⁴? =
  11. 11.What is the value of (7/9)⁻²? =
  12. 12.9.3 × 10⁷ =
  13. 13.Write 4.3 × 10⁻⁴ as a decimal. =
  14. 14.Write 17,00,000 in standard form as 1.7 × 10ⁿ. What is n?
  15. 15.What is the value of 5⁷? =
  16. 16.What is the value of 3⁵? =
  17. 17.Write 7.8 × 10⁻² as a decimal. =
  18. 18.What is the value of 9⁻³ (as a fraction)? =
  19. 19.What is the value of (1/8)⁻²? =
  20. 20.Write 3⁹ × 3³ as a single power 3ⁿ. What is n?
  21. 21.Write 7⁷ × 7³ as a single power 7ⁿ. What is n?
  22. 22.Write 8⁸ × 8⁴ as a single power 8ⁿ. What is n?
  23. 23.Write 3⁶ ÷ 3⁴ as a single power 3ⁿ. What is n?
  24. 24.What is the value of 3⁻⁶ (as a fraction)? =
  25. 25.What is the value of 10⁶ × 10⁻⁶? =
  26. 26.5.5 × 10⁵ =
  27. 27.What is the value of 7²? =
  28. 28.What is the value of 10³ × 10⁻⁶? =
  29. 29.Write 5,900 in standard form as 5.9 × 10ⁿ. What is n?
  30. 30.Write 6,00,000 in standard form as 6 × 10ⁿ. What is n?
  31. 31.Write 5³ × 5⁴ as a single power 5ⁿ. What is n?
  32. 32.Write 9.8 × 10⁻¹ as a decimal. =
  33. 33.What is the value of 2⁵ × 2⁻¹? =
  34. 34.Write (6⁹)² as a single power 6ⁿ. What is n?
  35. 35.Write 6¹¹ ÷ 6⁸ as a single power 6ⁿ. What is n?
  36. 36.Write 5¹⁴ ÷ 5⁶ as a single power 5ⁿ. What is n?
  37. 37.What is the value of 2⁴? =
  38. 38.Write 2¹⁰ ÷ 2² as a single power 2ⁿ. What is n?
  39. 39.Write 9³ × 9⁴ as a single power 9ⁿ. What is n?
  40. 40.What is the value of (2/3)⁻²? =

Answer key

  1. 1/125
  2. 81
  3. 6
  4. 25/16
  5. 5
  6. 9/7
  7. 0.0018
  8. 3
  9. 1/5
  10. 16384
  11. 81/49
  12. 93000000
  13. 0.00043
  14. 6
  15. 78125
  16. 243
  17. 0.078
  18. 1/729
  19. 64
  20. 12
  21. 10
  22. 12
  23. 2
  24. 1/729
  25. 1
  26. 550000
  27. 49
  28. 1/1000
  29. 3
  30. 5
  31. 7
  32. 0.98
  33. 16
  34. 18
  35. 3
  36. 8
  37. 16
  38. 8
  39. 7
  40. 9/4

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