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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 446 · 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.Write 7.7 × 10⁻¹ as a decimal. =
  2. 2.2.5 × 10³ =
  3. 3.Write 16,00,000 in standard form as 1.6 × 10ⁿ. What is n?
  4. 4.Write 8⁶ ÷ 8³ as a single power 8ⁿ. What is n?
  5. 5.3.2 × 10⁷ =
  6. 6.Write (4⁴)² as a single power 4ⁿ. What is n?
  7. 7.What is the value of 6⁴? =
  8. 8.Write 29,00,000 in standard form as 2.9 × 10ⁿ. What is n?
  9. 9.Write 3¹³ ÷ 3⁶ as a single power 3ⁿ. What is n?
  10. 10.Write 1.8 × 10⁻⁴ as a decimal. =
  11. 11.What is the value of 3⁻⁵ (as a fraction)? =
  12. 12.What is the value of 9²? =
  13. 13.What is the value of 2⁻⁴ (as a fraction)? =
  14. 14.What is the value of 10⁵? =
  15. 15.Write 3.8 × 10⁻³ as a decimal. =
  16. 16.What is the value of 3⁵ × 3⁻⁵? =
  17. 17.Write 4,10,000 in standard form as 4.1 × 10ⁿ. What is n?
  18. 18.Write 8,600 in standard form as 8.6 × 10ⁿ. What is n?
  19. 19.4.3 × 10³ =
  20. 20.8.4 × 10⁴ =
  21. 21.Write 9⁶ × 9² as a single power 9ⁿ. What is n?
  22. 22.Write (7⁵)² as a single power 7ⁿ. What is n?
  23. 23.Write 3.6 × 10⁻² as a decimal. =
  24. 24.Write 1,500 in standard form as 1.5 × 10ⁿ. What is n?
  25. 25.What is the value of 7⁵? =
  26. 26.What is the value of (1/5)⁻²? =
  27. 27.Write (8⁷)⁴ as a single power 8ⁿ. What is n?
  28. 28.What is the value of 5⁴ × 5⁻⁵? =
  29. 29.What is the value of 3⁹? =
  30. 30.What is the value of 10¹ × 10⁻¹? =
  31. 31.What is the value of 2¹⁴? =
  32. 32.Write 5,70,000 in standard form as 5.7 × 10ⁿ. What is n?
  33. 33.Write 2¹² ÷ 2⁵ as a single power 2ⁿ. What is n?
  34. 34.Write (9⁸)⁹ as a single power 9ⁿ. What is n?
  35. 35.What is the value of 3⁶ × 3⁻¹? =
  36. 36.Write 7⁷ × 7² as a single power 7ⁿ. What is n?
  37. 37.3.4 × 10⁷ =
  38. 38.What is the value of (8/9)⁻²? =
  39. 39.Write (9⁵)⁴ as a single power 9ⁿ. What is n?
  40. 40.What is the value of 3¹ × 3⁻¹? =

Answer key

  1. 0.77
  2. 2500
  3. 6
  4. 3
  5. 32000000
  6. 8
  7. 1296
  8. 6
  9. 7
  10. 0.00018
  11. 1/243
  12. 81
  13. 1/16
  14. 100000
  15. 0.0038
  16. 1
  17. 5
  18. 3
  19. 4300
  20. 84000
  21. 8
  22. 10
  23. 0.036
  24. 3
  25. 16807
  26. 25
  27. 28
  28. 1/5
  29. 19683
  30. 1
  31. 16384
  32. 5
  33. 7
  34. 72
  35. 243
  36. 9
  37. 34000000
  38. 81/64
  39. 20
  40. 1

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