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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 697 · 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 180 in standard form as 1.8 × 10ⁿ. What is n?
  2. 2.Write 2.8 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of (5/6)⁻¹? =
  4. 4.3.5 × 10⁶ =
  5. 5.9.5 × 10² =
  6. 6.What is the value of 5²? =
  7. 7.4.2 × 10⁶ =
  8. 8.Write (5³)⁴ as a single power 5ⁿ. What is n?
  9. 9.5.7 × 10⁵ =
  10. 10.Write 7.4 × 10⁻³ as a decimal. =
  11. 11.7.5 × 10³ =
  12. 12.What is the value of (2/3)⁻¹? =
  13. 13.What is the value of 2⁵ × 2⁻¹? =
  14. 14.7.3 × 10⁵ =
  15. 15.Write 210 in standard form as 2.1 × 10ⁿ. What is n?
  16. 16.What is the value of 4⁻² (as a fraction)? =
  17. 17.What is the value of 2⁵? =
  18. 18.What is the value of 2⁻¹ (as a fraction)? =
  19. 19.What is the value of 7⁵? =
  20. 20.What is the value of 10³ × 10⁻⁶? =
  21. 21.Write 6⁶ × 6⁶ as a single power 6ⁿ. What is n?
  22. 22.What is the value of 5¹ × 5⁻¹? =
  23. 23.Write 8² × 8² as a single power 8ⁿ. What is n?
  24. 24.What is the value of 5⁴? =
  25. 25.What is the value of 2¹⁴? =
  26. 26.What is the value of 2¹⁰? =
  27. 27.Write 5³ × 5⁵ as a single power 5ⁿ. What is n?
  28. 28.What is the value of 6³? =
  29. 29.Write 9⁸ × 9² as a single power 9ⁿ. What is n?
  30. 30.What is the value of 3⁻⁵ (as a fraction)? =
  31. 31.Write 8¹⁰ ÷ 8⁴ as a single power 8ⁿ. What is n?
  32. 32.What is the value of 4⁻⁴ (as a fraction)? =
  33. 33.What is the value of (1/2)⁻²? =
  34. 34.What is the value of 5² × 5⁻³? =
  35. 35.What is the value of (5/8)⁻²? =
  36. 36.Write 7³ × 7⁸ as a single power 7ⁿ. What is n?
  37. 37.Write 8⁹ ÷ 8⁷ as a single power 8ⁿ. What is n?
  38. 38.What is the value of 5³? =
  39. 39.What is the value of 5⁵? =
  40. 40.Write 2⁷ ÷ 2³ as a single power 2ⁿ. What is n?

Answer key

  1. 2
  2. 0.00028
  3. 6/5
  4. 3500000
  5. 950
  6. 25
  7. 4200000
  8. 12
  9. 570000
  10. 0.0074
  11. 7500
  12. 3/2
  13. 16
  14. 730000
  15. 2
  16. 1/16
  17. 32
  18. 1/2
  19. 16807
  20. 1/1000
  21. 12
  22. 1
  23. 4
  24. 625
  25. 16384
  26. 1024
  27. 8
  28. 216
  29. 10
  30. 1/243
  31. 6
  32. 1/256
  33. 4
  34. 1/5
  35. 64/25
  36. 11
  37. 2
  38. 125
  39. 3125
  40. 4

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