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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 516 · 40 sums
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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 × 10³ =
  2. 2.What is the value of (4/5)⁻¹? =
  3. 3.What is the value of 2⁸? =
  4. 4.What is the value of (1/7)⁻¹? =
  5. 5.Write 23,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  6. 6.9.3 × 10⁵ =
  7. 7.What is the value of 2⁴ × 2⁻²? =
  8. 8.What is the value of (1/9)⁻²? =
  9. 9.What is the value of 3⁻⁴ (as a fraction)? =
  10. 10.What is the value of 10² × 10⁻⁶? =
  11. 11.What is the value of (1/9)⁻¹? =
  12. 12.Write 6⁸ ÷ 6³ as a single power 6ⁿ. What is n?
  13. 13.What is the value of 10⁴ × 10⁻³? =
  14. 14.What is the value of 5²? =
  15. 15.6.2 × 10⁶ =
  16. 16.What is the value of (1/4)⁻²? =
  17. 17.1.2 × 10² =
  18. 18.What is the value of (4/7)⁻¹? =
  19. 19.Write 2.3 × 10⁻⁴ as a decimal. =
  20. 20.What is the value of 4⁴? =
  21. 21.Write 6.8 × 10⁻⁴ as a decimal. =
  22. 22.What is the value of 9⁻³ (as a fraction)? =
  23. 23.What is the value of 2⁴ × 2⁻⁴? =
  24. 24.Write 76,00,000 in standard form as 7.6 × 10ⁿ. What is n?
  25. 25.What is the value of 2⁶ × 2⁻¹? =
  26. 26.What is the value of 3⁶? =
  27. 27.Write 2,800 in standard form as 2.8 × 10ⁿ. What is n?
  28. 28.Write (9⁸)⁵ as a single power 9ⁿ. What is n?
  29. 29.Write 1.9 × 10⁻⁴ as a decimal. =
  30. 30.Write 4 × 10⁻¹ as a decimal. =
  31. 31.What is the value of 3⁵? =
  32. 32.Write (2⁵)² as a single power 2ⁿ. What is n?
  33. 33.What is the value of 2⁻⁶ (as a fraction)? =
  34. 34.Write (2⁸)⁷ as a single power 2ⁿ. What is n?
  35. 35.What is the value of 2⁴ × 2⁻³? =
  36. 36.What is the value of 5⁴? =
  37. 37.Write 9¹⁰ ÷ 9⁸ as a single power 9ⁿ. What is n?
  38. 38.Write 5,900 in standard form as 5.9 × 10ⁿ. What is n?
  39. 39.What is the value of 2² × 2⁻⁶? =
  40. 40.Write (6⁸)⁴ as a single power 6ⁿ. What is n?

Answer key

  1. 2500
  2. 5/4
  3. 256
  4. 7
  5. 6
  6. 930000
  7. 4
  8. 81
  9. 1/81
  10. 1/10000
  11. 9
  12. 5
  13. 10
  14. 25
  15. 6200000
  16. 16
  17. 120
  18. 7/4
  19. 0.00023
  20. 256
  21. 0.00068
  22. 1/729
  23. 1
  24. 6
  25. 32
  26. 729
  27. 3
  28. 40
  29. 0.00019
  30. 0.4
  31. 243
  32. 10
  33. 1/64
  34. 56
  35. 2
  36. 625
  37. 2
  38. 3
  39. 1/16
  40. 32

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