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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 59 · 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 5² × 5⁻¹? =
  2. 2.Write 5³ × 5² as a single power 5ⁿ. What is n?
  3. 3.Write 9⁵ ÷ 9² as a single power 9ⁿ. What is n?
  4. 4.Write 8,90,00,000 in standard form as 8.9 × 10ⁿ. What is n?
  5. 5.What is the value of 6⁶? =
  6. 6.Write 770 in standard form as 7.7 × 10ⁿ. What is n?
  7. 7.What is the value of (2/3)⁻²? =
  8. 8.Write 8.4 × 10⁻² as a decimal. =
  9. 9.What is the value of 2¹⁵? =
  10. 10.Write 1,10,00,000 in standard form as 1.1 × 10ⁿ. What is n?
  11. 11.What is the value of 3⁷? =
  12. 12.What is the value of 2⁸? =
  13. 13.What is the value of (3/4)⁻¹? =
  14. 14.5.7 × 10⁶ =
  15. 15.What is the value of 6³? =
  16. 16.Write 8.9 × 10⁻⁴ as a decimal. =
  17. 17.Write 5⁴ ÷ 5² as a single power 5ⁿ. What is n?
  18. 18.Write 1.1 × 10⁻⁴ as a decimal. =
  19. 19.7.2 × 10⁴ =
  20. 20.Write 3.2 × 10⁻¹ as a decimal. =
  21. 21.3.6 × 10² =
  22. 22.What is the value of 2⁵ × 2⁻²? =
  23. 23.What is the value of 4⁴? =
  24. 24.Write 3⁷ × 3⁹ as a single power 3ⁿ. What is n?
  25. 25.What is the value of 3²? =
  26. 26.Write 8⁸ ÷ 8³ as a single power 8ⁿ. What is n?
  27. 27.What is the value of 4⁸? =
  28. 28.What is the value of 3¹ × 3⁻⁶? =
  29. 29.What is the value of (4/5)⁻¹? =
  30. 30.Write (3⁷)⁴ as a single power 3ⁿ. What is n?
  31. 31.What is the value of 2⁻⁹ (as a fraction)? =
  32. 32.Write 2 × 10⁻² as a decimal. =
  33. 33.Write 9¹⁴ ÷ 9⁹ as a single power 9ⁿ. What is n?
  34. 34.Write 3.2 × 10⁻⁴ as a decimal. =
  35. 35.7.4 × 10⁴ =
  36. 36.Write (7⁹)⁹ as a single power 7ⁿ. What is n?
  37. 37.Write 7.9 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 9³? =
  39. 39.What is the value of (5/7)⁻²? =
  40. 40.What is the value of 2⁻² (as a fraction)? =

Answer key

  1. 5
  2. 5
  3. 3
  4. 7
  5. 46656
  6. 2
  7. 9/4
  8. 0.084
  9. 32768
  10. 7
  11. 2187
  12. 256
  13. 4/3
  14. 5700000
  15. 216
  16. 0.00089
  17. 2
  18. 0.00011
  19. 72000
  20. 0.32
  21. 360
  22. 8
  23. 256
  24. 16
  25. 9
  26. 5
  27. 65536
  28. 1/243
  29. 5/4
  30. 28
  31. 1/512
  32. 0.02
  33. 5
  34. 0.00032
  35. 74000
  36. 81
  37. 0.79
  38. 729
  39. 49/25
  40. 1/4

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