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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 147 · 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 3⁶ × 3⁻⁴? =
  2. 2.Write 9⁸ × 9² as a single power 9ⁿ. What is n?
  3. 3.What is the value of 10¹ × 10⁻²? =
  4. 4.What is the value of (2/7)⁻²? =
  5. 5.Write (8⁵)⁴ as a single power 8ⁿ. What is n?
  6. 6.Write 6.1 × 10⁻⁴ as a decimal. =
  7. 7.What is the value of 4⁴? =
  8. 8.What is the value of 10² × 10⁻³? =
  9. 9.8.7 × 10⁶ =
  10. 10.What is the value of 3⁴ × 3⁻¹? =
  11. 11.5.7 × 10⁵ =
  12. 12.Write 6⁹ ÷ 6² as a single power 6ⁿ. What is n?
  13. 13.Write 2⁸ ÷ 2⁴ as a single power 2ⁿ. What is n?
  14. 14.What is the value of (4/7)⁻²? =
  15. 15.What is the value of 2¹²? =
  16. 16.What is the value of (1/2)⁻¹? =
  17. 17.Write 9.8 × 10⁻² as a decimal. =
  18. 18.Write 4⁹ ÷ 4⁵ as a single power 4ⁿ. What is n?
  19. 19.Write 4⁶ ÷ 4³ as a single power 4ⁿ. What is n?
  20. 20.What is the value of 4⁻³ (as a fraction)? =
  21. 21.What is the value of 4³? =
  22. 22.8.5 × 10⁵ =
  23. 23.What is the value of 6⁵? =
  24. 24.6.7 × 10⁴ =
  25. 25.What is the value of 10¹ × 10⁻¹? =
  26. 26.Write 8.4 × 10⁻¹ as a decimal. =
  27. 27.What is the value of 5² × 5⁻⁵? =
  28. 28.What is the value of 3⁵ × 3⁻¹? =
  29. 29.Write 4.1 × 10⁻⁴ as a decimal. =
  30. 30.1.7 × 10⁵ =
  31. 31.Write 4,200 in standard form as 4.2 × 10ⁿ. What is n?
  32. 32.What is the value of 10⁶ × 10⁻⁵? =
  33. 33.7.9 × 10² =
  34. 34.What is the value of 5²? =
  35. 35.What is the value of (1/5)⁻²? =
  36. 36.Write 2⁴ × 2⁷ as a single power 2ⁿ. What is n?
  37. 37.Write 1.1 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of 8⁻¹ (as a fraction)? =
  39. 39.Write 6,000 in standard form as 6 × 10ⁿ. What is n?
  40. 40.What is the value of 2⁶ × 2⁻¹? =

Answer key

  1. 9
  2. 10
  3. 1/10
  4. 49/4
  5. 20
  6. 0.00061
  7. 256
  8. 1/10
  9. 8700000
  10. 27
  11. 570000
  12. 7
  13. 4
  14. 49/16
  15. 4096
  16. 2
  17. 0.098
  18. 4
  19. 3
  20. 1/64
  21. 64
  22. 850000
  23. 7776
  24. 67000
  25. 1
  26. 0.84
  27. 1/125
  28. 81
  29. 0.00041
  30. 170000
  31. 3
  32. 10
  33. 790
  34. 25
  35. 25
  36. 11
  37. 0.00011
  38. 1/8
  39. 3
  40. 32

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