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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 23 · 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.Write 8⁴ × 8⁶ as a single power 8ⁿ. What is n?
  2. 2.What is the value of 4²? =
  3. 3.Write 9¹⁴ ÷ 9⁵ as a single power 9ⁿ. What is n?
  4. 4.Write 8¹¹ ÷ 8⁹ as a single power 8ⁿ. What is n?
  5. 5.What is the value of 2⁷? =
  6. 6.5.6 × 10⁶ =
  7. 7.Write 350 in standard form as 3.5 × 10ⁿ. What is n?
  8. 8.What is the value of 2¹ × 2⁻²? =
  9. 9.What is the value of 2¹⁶? =
  10. 10.What is the value of 7⁻¹ (as a fraction)? =
  11. 11.Write 2,70,00,000 in standard form as 2.7 × 10ⁿ. What is n?
  12. 12.Write 79,00,000 in standard form as 7.9 × 10ⁿ. What is n?
  13. 13.Write 6.7 × 10⁻⁴ as a decimal. =
  14. 14.4.1 × 10⁶ =
  15. 15.What is the value of 2² × 2⁻²? =
  16. 16.Write (6⁹)³ as a single power 6ⁿ. What is n?
  17. 17.Write 9⁸ ÷ 9⁴ as a single power 9ⁿ. What is n?
  18. 18.What is the value of 9²? =
  19. 19.Write 9⁸ ÷ 9⁵ as a single power 9ⁿ. What is n?
  20. 20.What is the value of 10⁻³ (as a fraction)? =
  21. 21.1.6 × 10³ =
  22. 22.What is the value of 10³ × 10⁻⁴? =
  23. 23.Write 1.4 × 10⁻¹ as a decimal. =
  24. 24.What is the value of 2¹⁰? =
  25. 25.What is the value of 2⁹? =
  26. 26.What is the value of (1/3)⁻¹? =
  27. 27.What is the value of 2⁵ × 2⁻⁵? =
  28. 28.What is the value of 10²? =
  29. 29.1.2 × 10³ =
  30. 30.What is the value of 2⁻² (as a fraction)? =
  31. 31.What is the value of 3⁹? =
  32. 32.What is the value of 4⁵? =
  33. 33.What is the value of 6⁻² (as a fraction)? =
  34. 34.Write 1.5 × 10⁻² as a decimal. =
  35. 35.Write (6⁸)⁷ as a single power 6ⁿ. What is n?
  36. 36.What is the value of 2⁵ × 2⁻⁶? =
  37. 37.What is the value of 5⁵ × 5⁻²? =
  38. 38.What is the value of 2¹²? =
  39. 39.What is the value of (1/4)⁻²? =
  40. 40.Write (7²)⁹ as a single power 7ⁿ. What is n?

Answer key

  1. 10
  2. 16
  3. 9
  4. 2
  5. 128
  6. 5600000
  7. 2
  8. 1/2
  9. 65536
  10. 1/7
  11. 7
  12. 6
  13. 0.00067
  14. 4100000
  15. 1
  16. 27
  17. 4
  18. 81
  19. 3
  20. 1/1000
  21. 1600
  22. 1/10
  23. 0.14
  24. 1024
  25. 512
  26. 3
  27. 1
  28. 100
  29. 1200
  30. 1/4
  31. 19683
  32. 1024
  33. 1/36
  34. 0.015
  35. 56
  36. 1/2
  37. 125
  38. 4096
  39. 16
  40. 18

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