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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 311 · 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. 1.2.5 × 10⁴ =
  2. 2.Write 2.3 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of 2³? =
  4. 4.What is the value of 10⁻³ (as a fraction)? =
  5. 5.What is the value of (1/4)⁻²? =
  6. 6.What is the value of (6/7)⁻¹? =
  7. 7.What is the value of 6³? =
  8. 8.Write 4⁸ × 4⁵ as a single power 4ⁿ. What is n?
  9. 9.What is the value of 2⁴? =
  10. 10.What is the value of 2¹ × 2⁻³? =
  11. 11.Write 5.3 × 10⁻⁴ as a decimal. =
  12. 12.Write 98,000 in standard form as 9.8 × 10ⁿ. What is n?
  13. 13.What is the value of 8⁴? =
  14. 14.What is the value of 3⁵ × 3⁻⁶? =
  15. 15.9.2 × 10⁶ =
  16. 16.What is the value of 2⁻⁹ (as a fraction)? =
  17. 17.What is the value of 4³? =
  18. 18.What is the value of 10⁶ × 10⁻³? =
  19. 19.Write 12,000 in standard form as 1.2 × 10ⁿ. What is n?
  20. 20.Write 2.6 × 10⁻² as a decimal. =
  21. 21.What is the value of 2² × 2⁻¹? =
  22. 22.Write 7.9 × 10⁻⁴ as a decimal. =
  23. 23.Write 6,500 in standard form as 6.5 × 10ⁿ. What is n?
  24. 24.3.9 × 10⁴ =
  25. 25.What is the value of 2⁶ × 2⁻³? =
  26. 26.What is the value of (1/7)⁻¹? =
  27. 27.Write (8²)⁵ as a single power 8ⁿ. What is n?
  28. 28.Write (5⁵)³ as a single power 5ⁿ. What is n?
  29. 29.Write 7.8 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 2¹³? =
  31. 31.Write 1,800 in standard form as 1.8 × 10ⁿ. What is n?
  32. 32.Write 28,00,000 in standard form as 2.8 × 10ⁿ. What is n?
  33. 33.What is the value of 2¹ × 2⁻⁴? =
  34. 34.What is the value of 4⁸? =
  35. 35.What is the value of 2⁻⁷ (as a fraction)? =
  36. 36.Write 2.3 × 10⁻¹ as a decimal. =
  37. 37.What is the value of 4⁶? =
  38. 38.Write 9,90,000 in standard form as 9.9 × 10ⁿ. What is n?
  39. 39.Write 4 × 10⁻⁴ as a decimal. =
  40. 40.3.1 × 10⁴ =

Answer key

  1. 25000
  2. 0.00023
  3. 8
  4. 1/1000
  5. 16
  6. 7/6
  7. 216
  8. 13
  9. 16
  10. 1/4
  11. 0.00053
  12. 4
  13. 4096
  14. 1/3
  15. 9200000
  16. 1/512
  17. 64
  18. 1000
  19. 4
  20. 0.026
  21. 2
  22. 0.00079
  23. 3
  24. 39000
  25. 8
  26. 7
  27. 10
  28. 15
  29. 0.78
  30. 8192
  31. 3
  32. 6
  33. 1/8
  34. 65536
  35. 1/128
  36. 0.23
  37. 4096
  38. 5
  39. 0.0004
  40. 31000

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