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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 769 · 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. 1.7.1 × 10³ =
  2. 2.Write 7¹⁰ ÷ 7³ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 3³? =
  4. 4.What is the value of 2¹²? =
  5. 5.What is the value of 5¹ × 5⁻⁵? =
  6. 6.What is the value of 4⁴? =
  7. 7.6.1 × 10⁴ =
  8. 8.What is the value of 10³? =
  9. 9.Write 3.3 × 10⁻³ as a decimal. =
  10. 10.Write 3.9 × 10⁻² as a decimal. =
  11. 11.What is the value of 7⁻¹ (as a fraction)? =
  12. 12.Write 7.9 × 10⁻² as a decimal. =
  13. 13.What is the value of 2⁻⁵ (as a fraction)? =
  14. 14.What is the value of 6⁴? =
  15. 15.What is the value of 2² × 2⁻¹? =
  16. 16.Write (7²)⁴ as a single power 7ⁿ. What is n?
  17. 17.What is the value of 3¹ × 3⁻⁴? =
  18. 18.Write 740 in standard form as 7.4 × 10ⁿ. What is n?
  19. 19.What is the value of 5³? =
  20. 20.What is the value of 2⁻⁸ (as a fraction)? =
  21. 21.4.9 × 10³ =
  22. 22.Write 7,400 in standard form as 7.4 × 10ⁿ. What is n?
  23. 23.Write (8⁵)⁹ as a single power 8ⁿ. What is n?
  24. 24.What is the value of 2⁴ × 2⁻¹? =
  25. 25.What is the value of (1/9)⁻¹? =
  26. 26.Write 8,90,000 in standard form as 8.9 × 10ⁿ. What is n?
  27. 27.Write 2⁹ × 2³ as a single power 2ⁿ. What is n?
  28. 28.What is the value of 6⁵? =
  29. 29.Write 4,80,00,000 in standard form as 4.8 × 10ⁿ. What is n?
  30. 30.What is the value of 3³ × 3⁻¹? =
  31. 31.What is the value of (5/9)⁻²? =
  32. 32.What is the value of 3⁵? =
  33. 33.What is the value of 10⁵ × 10⁻⁶? =
  34. 34.What is the value of 2⁻⁷ (as a fraction)? =
  35. 35.1.9 × 10³ =
  36. 36.What is the value of (3/8)⁻¹? =
  37. 37.Write 2¹² ÷ 2⁹ as a single power 2ⁿ. What is n?
  38. 38.Write 350 in standard form as 3.5 × 10ⁿ. What is n?
  39. 39.What is the value of 2⁴? =
  40. 40.What is the value of 8⁴? =

Answer key

  1. 7100
  2. 7
  3. 27
  4. 4096
  5. 1/625
  6. 256
  7. 61000
  8. 1000
  9. 0.0033
  10. 0.039
  11. 1/7
  12. 0.079
  13. 1/32
  14. 1296
  15. 2
  16. 8
  17. 1/27
  18. 2
  19. 125
  20. 1/256
  21. 4900
  22. 3
  23. 45
  24. 8
  25. 9
  26. 5
  27. 12
  28. 7776
  29. 7
  30. 9
  31. 81/25
  32. 243
  33. 1/10
  34. 1/128
  35. 1900
  36. 8/3
  37. 3
  38. 2
  39. 16
  40. 4096

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