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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 617 · 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.What is the value of 2⁵? =
  2. 2.What is the value of 10²? =
  3. 3.What is the value of (1/9)⁻²? =
  4. 4.Write 660 in standard form as 6.6 × 10ⁿ. What is n?
  5. 5.Write 7² × 7⁶ as a single power 7ⁿ. What is n?
  6. 6.What is the value of 5¹ × 5⁻⁶? =
  7. 7.Write 4.6 × 10⁻¹ as a decimal. =
  8. 8.Write 7.7 × 10⁻¹ as a decimal. =
  9. 9.8.1 × 10⁵ =
  10. 10.Write 2⁶ ÷ 2³ as a single power 2ⁿ. What is n?
  11. 11.Write 4⁹ ÷ 4⁷ as a single power 4ⁿ. What is n?
  12. 12.Write 7.6 × 10⁻² as a decimal. =
  13. 13.Write 5.9 × 10⁻² as a decimal. =
  14. 14.Write 9,80,000 in standard form as 9.8 × 10ⁿ. What is n?
  15. 15.Write 8.1 × 10⁻⁴ as a decimal. =
  16. 16.Write 4⁷ × 4⁷ as a single power 4ⁿ. What is n?
  17. 17.What is the value of 4³? =
  18. 18.What is the value of (1/4)⁻²? =
  19. 19.Write 4⁹ × 4⁸ as a single power 4ⁿ. What is n?
  20. 20.What is the value of 4⁸? =
  21. 21.What is the value of 10⁵ × 10⁻⁴? =
  22. 22.4.6 × 10³ =
  23. 23.What is the value of 2⁶ × 2⁻⁵? =
  24. 24.What is the value of 4⁵? =
  25. 25.Write 1.3 × 10⁻⁴ as a decimal. =
  26. 26.Write (3⁹)³ as a single power 3ⁿ. What is n?
  27. 27.Write 4,100 in standard form as 4.1 × 10ⁿ. What is n?
  28. 28.What is the value of 4⁷? =
  29. 29.Write 5 × 10⁻³ as a decimal. =
  30. 30.What is the value of 2¹⁵? =
  31. 31.Write 2⁴ × 2⁹ as a single power 2ⁿ. What is n?
  32. 32.What is the value of 9⁴? =
  33. 33.8.9 × 10⁶ =
  34. 34.Write 2¹⁴ ÷ 2⁶ as a single power 2ⁿ. What is n?
  35. 35.Write 680 in standard form as 6.8 × 10ⁿ. What is n?
  36. 36.What is the value of 2⁶? =
  37. 37.What is the value of 3² × 3⁻³? =
  38. 38.What is the value of 8⁻³ (as a fraction)? =
  39. 39.What is the value of 10² × 10⁻¹? =
  40. 40.Write 330 in standard form as 3.3 × 10ⁿ. What is n?

Answer key

  1. 32
  2. 100
  3. 81
  4. 2
  5. 8
  6. 1/3125
  7. 0.46
  8. 0.77
  9. 810000
  10. 3
  11. 2
  12. 0.076
  13. 0.059
  14. 5
  15. 0.00081
  16. 14
  17. 64
  18. 16
  19. 17
  20. 65536
  21. 10
  22. 4600
  23. 2
  24. 1024
  25. 0.00013
  26. 27
  27. 3
  28. 16384
  29. 0.005
  30. 32768
  31. 13
  32. 6561
  33. 8900000
  34. 8
  35. 2
  36. 64
  37. 1/3
  38. 1/512
  39. 10
  40. 2

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