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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 674 · 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 5⁶ × 5⁻⁶? =
  2. 2.What is the value of 5⁷? =
  3. 3.What is the value of 2⁴ × 2⁻²? =
  4. 4.What is the value of (3/7)⁻¹? =
  5. 5.What is the value of (1/3)⁻¹? =
  6. 6.Write 2⁷ ÷ 2² as a single power 2ⁿ. What is n?
  7. 7.What is the value of 7⁵? =
  8. 8.Write (8⁹)⁹ as a single power 8ⁿ. What is n?
  9. 9.What is the value of 6³? =
  10. 10.What is the value of 2⁵ × 2⁻¹? =
  11. 11.What is the value of 9⁵? =
  12. 12.What is the value of 7³? =
  13. 13.Write 1.6 × 10⁻² as a decimal. =
  14. 14.What is the value of (6/7)⁻²? =
  15. 15.Write 4¹⁴ ÷ 4⁶ as a single power 4ⁿ. What is n?
  16. 16.Write 2¹¹ ÷ 2⁶ as a single power 2ⁿ. What is n?
  17. 17.What is the value of 10³? =
  18. 18.What is the value of 2¹ × 2⁻²? =
  19. 19.What is the value of 6⁴? =
  20. 20.1.6 × 10² =
  21. 21.6.8 × 10³ =
  22. 22.What is the value of 8²? =
  23. 23.5.1 × 10² =
  24. 24.Write 4.5 × 10⁻² as a decimal. =
  25. 25.Write 3¹⁶ ÷ 3⁷ as a single power 3ⁿ. What is n?
  26. 26.What is the value of 2¹²? =
  27. 27.Write 6.9 × 10⁻³ as a decimal. =
  28. 28.Write 3,20,00,000 in standard form as 3.2 × 10ⁿ. What is n?
  29. 29.Write (3⁸)³ as a single power 3ⁿ. What is n?
  30. 30.What is the value of 5⁻³ (as a fraction)? =
  31. 31.Write 51,00,000 in standard form as 5.1 × 10ⁿ. What is n?
  32. 32.What is the value of 5⁴ × 5⁻⁵? =
  33. 33.3.2 × 10⁴ =
  34. 34.What is the value of 3⁴? =
  35. 35.Write 9¹¹ ÷ 9⁹ as a single power 9ⁿ. What is n?
  36. 36.What is the value of 2¹⁶? =
  37. 37.What is the value of 9⁴? =
  38. 38.Write 3.3 × 10⁻² as a decimal. =
  39. 39.What is the value of 2³ × 2⁻¹? =
  40. 40.3.3 × 10⁵ =

Answer key

  1. 1
  2. 78125
  3. 4
  4. 7/3
  5. 3
  6. 5
  7. 16807
  8. 81
  9. 216
  10. 16
  11. 59049
  12. 343
  13. 0.016
  14. 49/36
  15. 8
  16. 5
  17. 1000
  18. 1/2
  19. 1296
  20. 160
  21. 6800
  22. 64
  23. 510
  24. 0.045
  25. 9
  26. 4096
  27. 0.0069
  28. 7
  29. 24
  30. 1/125
  31. 6
  32. 1/5
  33. 32000
  34. 81
  35. 2
  36. 65536
  37. 6561
  38. 0.033
  39. 4
  40. 330000

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