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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 402 · 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 4³? =
  2. 2.Write 5,000 in standard form as 5 × 10ⁿ. What is n?
  3. 3.Write 14,00,000 in standard form as 1.4 × 10ⁿ. What is n?
  4. 4.What is the value of (7/8)⁻¹? =
  5. 5.5.5 × 10⁴ =
  6. 6.What is the value of 10²? =
  7. 7.What is the value of 7⁻¹ (as a fraction)? =
  8. 8.What is the value of 2³ × 2⁻⁶? =
  9. 9.Write 3¹⁵ ÷ 3⁶ as a single power 3ⁿ. What is n?
  10. 10.Write 3³ × 3³ as a single power 3ⁿ. What is n?
  11. 11.Write 4.1 × 10⁻³ as a decimal. =
  12. 12.What is the value of (1/7)⁻¹? =
  13. 13.Write 3.8 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of 3⁷? =
  15. 15.Write 3⁹ × 3⁹ as a single power 3ⁿ. What is n?
  16. 16.What is the value of 3⁵ × 3⁻¹? =
  17. 17.3.8 × 10³ =
  18. 18.Write 6⁴ × 6⁵ as a single power 6ⁿ. What is n?
  19. 19.What is the value of (1/6)⁻²? =
  20. 20.What is the value of (6/7)⁻²? =
  21. 21.Write 2,400 in standard form as 2.4 × 10ⁿ. What is n?
  22. 22.What is the value of 8³? =
  23. 23.What is the value of 4⁴? =
  24. 24.9.8 × 10⁴ =
  25. 25.What is the value of 4⁻¹ (as a fraction)? =
  26. 26.What is the value of 10² × 10⁻²? =
  27. 27.Write 9⁸ × 9⁷ as a single power 9ⁿ. What is n?
  28. 28.What is the value of 6⁻³ (as a fraction)? =
  29. 29.Write 5¹² ÷ 5⁸ as a single power 5ⁿ. What is n?
  30. 30.Write 8.7 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of 7⁴? =
  32. 32.Write 2⁴ × 2⁴ as a single power 2ⁿ. What is n?
  33. 33.What is the value of 5⁶ × 5⁻²? =
  34. 34.Write 3.8 × 10⁻¹ as a decimal. =
  35. 35.Write 1,200 in standard form as 1.2 × 10ⁿ. What is n?
  36. 36.What is the value of 2⁶ × 2⁻⁴? =
  37. 37.Write 8 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 3⁻² (as a fraction)? =
  39. 39.What is the value of 2¹ × 2⁻²? =
  40. 40.What is the value of 3⁴ × 3⁻⁵? =

Answer key

  1. 64
  2. 3
  3. 6
  4. 8/7
  5. 55000
  6. 100
  7. 1/7
  8. 1/8
  9. 9
  10. 6
  11. 0.0041
  12. 7
  13. 0.00038
  14. 2187
  15. 18
  16. 81
  17. 3800
  18. 9
  19. 36
  20. 49/36
  21. 3
  22. 512
  23. 256
  24. 98000
  25. 1/4
  26. 1
  27. 15
  28. 1/216
  29. 4
  30. 0.00087
  31. 2401
  32. 8
  33. 625
  34. 0.38
  35. 3
  36. 4
  37. 0.8
  38. 1/9
  39. 1/2
  40. 1/3

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