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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 293 · 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 (2/7)⁻²? =
  2. 2.Write (5⁴)⁶ as a single power 5ⁿ. What is n?
  3. 3.What is the value of 5² × 5⁻³? =
  4. 4.5.3 × 10⁵ =
  5. 5.Write 9⁸ × 9⁴ as a single power 9ⁿ. What is n?
  6. 6.Write 2¹⁰ ÷ 2⁷ as a single power 2ⁿ. What is n?
  7. 7.What is the value of 5³ × 5⁻³? =
  8. 8.3.2 × 10² =
  9. 9.What is the value of 3³ × 3⁻⁴? =
  10. 10.8.7 × 10³ =
  11. 11.What is the value of 8⁻² (as a fraction)? =
  12. 12.What is the value of 10⁻² (as a fraction)? =
  13. 13.What is the value of 2⁷? =
  14. 14.Write 1.2 × 10⁻³ as a decimal. =
  15. 15.What is the value of 2⁻⁴ (as a fraction)? =
  16. 16.Write 5.1 × 10⁻⁴ as a decimal. =
  17. 17.What is the value of 2³? =
  18. 18.What is the value of 7⁴? =
  19. 19.Write 8.5 × 10⁻³ as a decimal. =
  20. 20.What is the value of 5³ × 5⁻¹? =
  21. 21.What is the value of (3/7)⁻²? =
  22. 22.Write 9.1 × 10⁻³ as a decimal. =
  23. 23.Write 3 × 10⁻⁴ as a decimal. =
  24. 24.What is the value of 5¹ × 5⁻³? =
  25. 25.What is the value of 6³? =
  26. 26.What is the value of 5⁴ × 5⁻²? =
  27. 27.Write 2,30,000 in standard form as 2.3 × 10ⁿ. What is n?
  28. 28.Write 2⁹ ÷ 2⁵ as a single power 2ⁿ. What is n?
  29. 29.What is the value of 2¹²? =
  30. 30.What is the value of 8⁵? =
  31. 31.What is the value of 9⁴? =
  32. 32.Write (6²)⁵ as a single power 6ⁿ. What is n?
  33. 33.What is the value of 10¹ × 10⁻²? =
  34. 34.Write 7,30,000 in standard form as 7.3 × 10ⁿ. What is n?
  35. 35.Write 8.2 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 7²? =
  37. 37.Write 5¹¹ ÷ 5⁸ as a single power 5ⁿ. What is n?
  38. 38.Write 8.6 × 10⁻⁴ as a decimal. =
  39. 39.What is the value of 2⁴ × 2⁻²? =
  40. 40.What is the value of (5/8)⁻²? =

Answer key

  1. 49/4
  2. 24
  3. 1/5
  4. 530000
  5. 12
  6. 3
  7. 1
  8. 320
  9. 1/3
  10. 8700
  11. 1/64
  12. 1/100
  13. 128
  14. 0.0012
  15. 1/16
  16. 0.00051
  17. 8
  18. 2401
  19. 0.0085
  20. 25
  21. 49/9
  22. 0.0091
  23. 0.0003
  24. 1/25
  25. 216
  26. 25
  27. 5
  28. 4
  29. 4096
  30. 32768
  31. 6561
  32. 10
  33. 1/10
  34. 5
  35. 0.82
  36. 49
  37. 3
  38. 0.00086
  39. 4
  40. 64/25

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