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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 865 · 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 (5⁸)⁹ as a single power 5ⁿ. What is n?
  2. 2.What is the value of 10³ × 10⁻⁴? =
  3. 3.What is the value of 8⁵? =
  4. 4.What is the value of 9⁴? =
  5. 5.Write 7² × 7⁵ as a single power 7ⁿ. What is n?
  6. 6.What is the value of (1/6)⁻²? =
  7. 7.What is the value of 2¹³? =
  8. 8.Write 7.7 × 10⁻¹ as a decimal. =
  9. 9.Write (9⁶)⁸ as a single power 9ⁿ. What is n?
  10. 10.What is the value of 8³? =
  11. 11.Write 4⁹ ÷ 4⁵ as a single power 4ⁿ. What is n?
  12. 12.What is the value of 4³? =
  13. 13.What is the value of 2⁻¹ (as a fraction)? =
  14. 14.Write (4⁹)³ as a single power 4ⁿ. What is n?
  15. 15.Write 5 × 10⁻² as a decimal. =
  16. 16.Write 8¹⁰ ÷ 8⁷ as a single power 8ⁿ. What is n?
  17. 17.Write (8⁸)⁷ as a single power 8ⁿ. What is n?
  18. 18.Write 9⁸ × 9⁹ as a single power 9ⁿ. What is n?
  19. 19.What is the value of 5³ × 5⁻²? =
  20. 20.What is the value of 5⁵? =
  21. 21.5.1 × 10³ =
  22. 22.Write 38,000 in standard form as 3.8 × 10ⁿ. What is n?
  23. 23.What is the value of 2¹⁵? =
  24. 24.Write 2¹⁰ ÷ 2⁷ as a single power 2ⁿ. What is n?
  25. 25.3.8 × 10⁷ =
  26. 26.Write 6⁵ × 6² as a single power 6ⁿ. What is n?
  27. 27.What is the value of 3² × 3⁻¹? =
  28. 28.Write 3¹⁶ ÷ 3⁸ as a single power 3ⁿ. What is n?
  29. 29.What is the value of 7⁴? =
  30. 30.Write (5⁵)⁶ as a single power 5ⁿ. What is n?
  31. 31.Write 8² × 8⁸ as a single power 8ⁿ. What is n?
  32. 32.What is the value of 10¹ × 10⁻⁵? =
  33. 33.2.7 × 10⁴ =
  34. 34.What is the value of (1/4)⁻²? =
  35. 35.What is the value of (3/8)⁻¹? =
  36. 36.3.3 × 10⁷ =
  37. 37.What is the value of 2⁴ × 2⁻³? =
  38. 38.Write (4⁷)⁵ as a single power 4ⁿ. What is n?
  39. 39.Write 1.8 × 10⁻² as a decimal. =
  40. 40.6.1 × 10⁴ =

Answer key

  1. 72
  2. 1/10
  3. 32768
  4. 6561
  5. 7
  6. 36
  7. 8192
  8. 0.77
  9. 48
  10. 512
  11. 4
  12. 64
  13. 1/2
  14. 27
  15. 0.05
  16. 3
  17. 56
  18. 17
  19. 5
  20. 3125
  21. 5100
  22. 4
  23. 32768
  24. 3
  25. 38000000
  26. 7
  27. 3
  28. 8
  29. 2401
  30. 30
  31. 10
  32. 1/10000
  33. 27000
  34. 16
  35. 8/3
  36. 33000000
  37. 2
  38. 35
  39. 0.018
  40. 61000

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