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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 318 · 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 5¹ × 5⁻¹? =
  2. 2.Write 8.7 × 10⁻³ as a decimal. =
  3. 3.What is the value of 3⁻¹ (as a fraction)? =
  4. 4.What is the value of 4⁷? =
  5. 5.What is the value of 3⁸? =
  6. 6.Write 9¹⁰ ÷ 9⁸ as a single power 9ⁿ. What is n?
  7. 7.What is the value of 5³? =
  8. 8.Write (2⁴)⁷ as a single power 2ⁿ. What is n?
  9. 9.What is the value of 2⁴? =
  10. 10.Write 3.8 × 10⁻² as a decimal. =
  11. 11.Write 2.7 × 10⁻⁴ as a decimal. =
  12. 12.Write 45,000 in standard form as 4.5 × 10ⁿ. What is n?
  13. 13.What is the value of 2⁵ × 2⁻¹? =
  14. 14.What is the value of 8⁵? =
  15. 15.What is the value of 5² × 5⁻⁵? =
  16. 16.What is the value of 2² × 2⁻⁵? =
  17. 17.3.8 × 10⁶ =
  18. 18.2.2 × 10³ =
  19. 19.What is the value of 2³ × 2⁻¹? =
  20. 20.What is the value of 2²? =
  21. 21.What is the value of 2⁻¹ (as a fraction)? =
  22. 22.Write 2,000 in standard form as 2 × 10ⁿ. What is n?
  23. 23.What is the value of 4⁻¹ (as a fraction)? =
  24. 24.What is the value of 6⁻¹ (as a fraction)? =
  25. 25.Write 2² × 2⁹ as a single power 2ⁿ. What is n?
  26. 26.What is the value of 10⁴? =
  27. 27.6.5 × 10² =
  28. 28.What is the value of (2/7)⁻¹? =
  29. 29.Write 7,50,000 in standard form as 7.5 × 10ⁿ. What is n?
  30. 30.Write 3.1 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of 7⁴? =
  32. 32.What is the value of (8/9)⁻¹? =
  33. 33.What is the value of 2⁵? =
  34. 34.What is the value of 2⁶ × 2⁻⁶? =
  35. 35.Write (7⁸)³ as a single power 7ⁿ. What is n?
  36. 36.Write 3,100 in standard form as 3.1 × 10ⁿ. What is n?
  37. 37.What is the value of 9⁻² (as a fraction)? =
  38. 38.Write (5⁹)⁸ as a single power 5ⁿ. What is n?
  39. 39.What is the value of 2⁻⁶ (as a fraction)? =
  40. 40.6 × 10⁶ =

Answer key

  1. 1
  2. 0.0087
  3. 1/3
  4. 16384
  5. 6561
  6. 2
  7. 125
  8. 28
  9. 16
  10. 0.038
  11. 0.00027
  12. 4
  13. 16
  14. 32768
  15. 1/125
  16. 1/8
  17. 3800000
  18. 2200
  19. 4
  20. 4
  21. 1/2
  22. 3
  23. 1/4
  24. 1/6
  25. 11
  26. 10000
  27. 650
  28. 7/2
  29. 5
  30. 0.00031
  31. 2401
  32. 9/8
  33. 32
  34. 1
  35. 24
  36. 3
  37. 1/81
  38. 72
  39. 1/64
  40. 6000000

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