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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 165 · 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 8⁴? =
  2. 2.What is the value of 2² × 2⁻⁵? =
  3. 3.What is the value of (1/3)⁻²? =
  4. 4.What is the value of 4⁷? =
  5. 5.What is the value of 5¹ × 5⁻²? =
  6. 6.What is the value of 2⁷? =
  7. 7.Write 6³ × 6⁹ as a single power 6ⁿ. What is n?
  8. 8.Write 5⁷ × 5⁶ as a single power 5ⁿ. What is n?
  9. 9.Write 9.1 × 10⁻³ as a decimal. =
  10. 10.What is the value of 2⁴ × 2⁻³? =
  11. 11.What is the value of (5/8)⁻¹? =
  12. 12.What is the value of 3²? =
  13. 13.What is the value of 5⁵? =
  14. 14.What is the value of 10⁴ × 10⁻⁴? =
  15. 15.Write 4⁴ × 4³ as a single power 4ⁿ. What is n?
  16. 16.What is the value of 9⁻¹ (as a fraction)? =
  17. 17.Write 4.9 × 10⁻¹ as a decimal. =
  18. 18.What is the value of 5⁴ × 5⁻³? =
  19. 19.What is the value of 6³? =
  20. 20.Write 6 × 10⁻⁴ as a decimal. =
  21. 21.What is the value of 2³ × 2⁻⁴? =
  22. 22.Write 5.6 × 10⁻² as a decimal. =
  23. 23.Write 9,20,000 in standard form as 9.2 × 10ⁿ. What is n?
  24. 24.Write 8.7 × 10⁻¹ as a decimal. =
  25. 25.Write (4³)³ as a single power 4ⁿ. What is n?
  26. 26.What is the value of 10⁵? =
  27. 27.What is the value of 5⁴? =
  28. 28.Write 8¹² ÷ 8⁵ as a single power 8ⁿ. What is n?
  29. 29.Write 6,30,000 in standard form as 6.3 × 10ⁿ. What is n?
  30. 30.Write 5.6 × 10⁻³ as a decimal. =
  31. 31.Write 3⁷ ÷ 3⁴ as a single power 3ⁿ. What is n?
  32. 32.Write 6⁷ × 6⁶ as a single power 6ⁿ. What is n?
  33. 33.What is the value of 2¹ × 2⁻⁶? =
  34. 34.Write 97,00,000 in standard form as 9.7 × 10ⁿ. What is n?
  35. 35.Write 4.4 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 2⁻¹ (as a fraction)? =
  37. 37.Write 8⁵ ÷ 8² as a single power 8ⁿ. What is n?
  38. 38.Write 2¹¹ ÷ 2⁹ as a single power 2ⁿ. What is n?
  39. 39.What is the value of 5⁷? =
  40. 40.Write 7.9 × 10⁻² as a decimal. =

Answer key

  1. 4096
  2. 1/8
  3. 9
  4. 16384
  5. 1/5
  6. 128
  7. 12
  8. 13
  9. 0.0091
  10. 2
  11. 8/5
  12. 9
  13. 3125
  14. 1
  15. 7
  16. 1/9
  17. 0.49
  18. 5
  19. 216
  20. 0.0006
  21. 1/2
  22. 0.056
  23. 5
  24. 0.87
  25. 9
  26. 100000
  27. 625
  28. 7
  29. 5
  30. 0.0056
  31. 3
  32. 13
  33. 1/32
  34. 6
  35. 0.00044
  36. 1/2
  37. 3
  38. 2
  39. 78125
  40. 0.079

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