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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 714 · 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 2.2 × 10⁻³ as a decimal. =
  2. 2.1.6 × 10² =
  3. 3.What is the value of 2¹ × 2⁻⁴? =
  4. 4.What is the value of 3⁵ × 3⁻¹? =
  5. 5.What is the value of (2/7)⁻¹? =
  6. 6.What is the value of (2/3)⁻¹? =
  7. 7.What is the value of 2¹¹? =
  8. 8.Write 4,70,00,000 in standard form as 4.7 × 10ⁿ. What is n?
  9. 9.Write 8.2 × 10⁻⁴ as a decimal. =
  10. 10.Write 7,30,00,000 in standard form as 7.3 × 10ⁿ. What is n?
  11. 11.Write 9,000 in standard form as 9 × 10ⁿ. What is n?
  12. 12.Write 7⁶ ÷ 7³ as a single power 7ⁿ. What is n?
  13. 13.What is the value of (1/4)⁻²? =
  14. 14.Write 5 × 10⁻⁴ as a decimal. =
  15. 15.Write 9.7 × 10⁻³ as a decimal. =
  16. 16.What is the value of 2⁶ × 2⁻⁴? =
  17. 17.What is the value of 4⁵? =
  18. 18.Write 3⁸ × 3⁶ as a single power 3ⁿ. What is n?
  19. 19.8.9 × 10² =
  20. 20.What is the value of 7⁻¹ (as a fraction)? =
  21. 21.What is the value of 3⁻⁶ (as a fraction)? =
  22. 22.What is the value of 2⁵ × 2⁻⁵? =
  23. 23.2.7 × 10⁴ =
  24. 24.What is the value of 2⁹? =
  25. 25.What is the value of 10⁵ × 10⁻⁴? =
  26. 26.What is the value of 2³? =
  27. 27.Write 3⁵ × 3⁶ as a single power 3ⁿ. What is n?
  28. 28.2.6 × 10³ =
  29. 29.What is the value of 2⁻⁶ (as a fraction)? =
  30. 30.Write 5⁶ × 5⁵ as a single power 5ⁿ. What is n?
  31. 31.Write 4⁹ ÷ 4⁶ as a single power 4ⁿ. What is n?
  32. 32.What is the value of 3¹ × 3⁻²? =
  33. 33.What is the value of 2¹⁶? =
  34. 34.Write 1,70,00,000 in standard form as 1.7 × 10ⁿ. What is n?
  35. 35.Write 2¹² ÷ 2⁹ as a single power 2ⁿ. What is n?
  36. 36.Write 2.3 × 10⁻³ as a decimal. =
  37. 37.What is the value of 2⁴ × 2⁻⁵? =
  38. 38.What is the value of 3⁷? =
  39. 39.What is the value of 6⁵? =
  40. 40.Write 9.8 × 10⁻³ as a decimal. =

Answer key

  1. 0.0022
  2. 160
  3. 1/8
  4. 81
  5. 7/2
  6. 3/2
  7. 2048
  8. 7
  9. 0.00082
  10. 7
  11. 3
  12. 3
  13. 16
  14. 0.0005
  15. 0.0097
  16. 4
  17. 1024
  18. 14
  19. 890
  20. 1/7
  21. 1/729
  22. 1
  23. 27000
  24. 512
  25. 10
  26. 8
  27. 11
  28. 2600
  29. 1/64
  30. 11
  31. 3
  32. 1/3
  33. 65536
  34. 7
  35. 3
  36. 0.0023
  37. 1/2
  38. 2187
  39. 7776
  40. 0.0098

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