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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 533 · 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 7² × 7⁸ as a single power 7ⁿ. What is n?
  2. 2.What is the value of 8⁵? =
  3. 3.What is the value of 8⁻³ (as a fraction)? =
  4. 4.What is the value of 7⁻¹ (as a fraction)? =
  5. 5.What is the value of 10⁴ × 10⁻²? =
  6. 6.Write 6.3 × 10⁻¹ as a decimal. =
  7. 7.8.9 × 10⁵ =
  8. 8.What is the value of 2² × 2⁻²? =
  9. 9.Write 6,10,000 in standard form as 6.1 × 10ⁿ. What is n?
  10. 10.Write 2⁸ × 2² as a single power 2ⁿ. What is n?
  11. 11.Write 38,00,000 in standard form as 3.8 × 10ⁿ. What is n?
  12. 12.What is the value of 10³ × 10⁻⁵? =
  13. 13.What is the value of 2⁻⁴ (as a fraction)? =
  14. 14.What is the value of (3/8)⁻¹? =
  15. 15.Write 7.8 × 10⁻⁴ as a decimal. =
  16. 16.What is the value of (2/7)⁻¹? =
  17. 17.What is the value of (1/6)⁻¹? =
  18. 18.What is the value of 8³? =
  19. 19.What is the value of 3⁶ × 3⁻³? =
  20. 20.Write 5.8 × 10⁻⁴ as a decimal. =
  21. 21.What is the value of 3² × 3⁻⁶? =
  22. 22.Write (3⁵)⁶ as a single power 3ⁿ. What is n?
  23. 23.What is the value of 5³? =
  24. 24.What is the value of 2¹ × 2⁻¹? =
  25. 25.What is the value of 5³ × 5⁻⁶? =
  26. 26.Write 9¹² ÷ 9³ as a single power 9ⁿ. What is n?
  27. 27.Write 9⁶ × 9⁶ as a single power 9ⁿ. What is n?
  28. 28.What is the value of 5⁴ × 5⁻³? =
  29. 29.Write (6³)⁴ as a single power 6ⁿ. What is n?
  30. 30.What is the value of 2²? =
  31. 31.Write 7.9 × 10⁻¹ as a decimal. =
  32. 32.What is the value of 7³? =
  33. 33.What is the value of (5/7)⁻¹? =
  34. 34.Write (8⁵)⁵ as a single power 8ⁿ. What is n?
  35. 35.Write (9⁷)⁸ as a single power 9ⁿ. What is n?
  36. 36.Write 60,00,000 in standard form as 6 × 10ⁿ. What is n?
  37. 37.What is the value of 2⁴? =
  38. 38.What is the value of 3²? =
  39. 39.Write (2⁹)⁹ as a single power 2ⁿ. What is n?
  40. 40.What is the value of 2³ × 2⁻⁵? =

Answer key

  1. 10
  2. 32768
  3. 1/512
  4. 1/7
  5. 100
  6. 0.63
  7. 890000
  8. 1
  9. 5
  10. 10
  11. 6
  12. 1/100
  13. 1/16
  14. 8/3
  15. 0.00078
  16. 7/2
  17. 6
  18. 512
  19. 27
  20. 0.00058
  21. 1/81
  22. 30
  23. 125
  24. 1
  25. 1/125
  26. 9
  27. 12
  28. 5
  29. 12
  30. 4
  31. 0.79
  32. 343
  33. 7/5
  34. 25
  35. 56
  36. 6
  37. 16
  38. 9
  39. 81
  40. 1/4

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